Use Probability for Inheritance Predictions

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Biology › Use Probability for Inheritance Predictions

Questions 1 - 10
1

In a plant, red fruit (A) is dominant over yellow fruit (a). Two heterozygous plants are crossed: $Aa \times Aa$. What is the probability an offspring will be heterozygous ($Aa$)?

$25%$

$75%$

$33%$

$50%$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). Each box represents one equally likely outcome, so PROBABILITY = (number of boxes with desired outcome) / (total number of boxes). Example: Aa × Aa cross creates 4-box Punnett: box 1 = AA (A from parent 1, A from parent 2), box 2 = Aa (A from 1, a from 2), box 3 = Aa (a from 1, A from 2), box 4 = aa (a from 1, a from 2). For probability of aa: 1 box out of 4 = 1/4 = 25% chance. For probability of Aa: 2 boxes out of 4 = 2/4 = 1/2 = 50% chance. For probability of dominant phenotype (AA or Aa if A is dominant): 3 boxes out of 4 = 3/4 = 75% chance. Simple counting from Punnett square gives all probabilities! For this Aa × Aa cross, the Punnett square shows gametes A (50%) and a (50%) from each parent, resulting in offspring genotypes: AA (1/4), Aa (2/4), aa (1/4); the probability of heterozygous Aa is 2/4 or 50%. Choice C correctly calculates the inheritance probability by properly setting up the Punnett square and counting the 2 boxes out of 4 for Aa. Choice D is incorrect because 75% is the dominant phenotype probability, not specifically heterozygous—heterozygotes are only the Aa, not including AA! The Punnett square probability recipe: (1) WRITE parent genotypes: Parent 1 is Aa, Parent 2 is Aa. (2) DETERMINE possible gametes: Parent 1 can make A or a gametes (50% each). Parent 2 can make A or a gametes (50% each). (3) SET UP Punnett square: Put parent 1 gametes on top (A, a). Put parent 2 gametes on left (A, a). Creates 2×2 = 4 boxes. (4) FILL boxes: Combine gametes. Top-left = A + A = AA. Top-right = A + a = Aa. Bottom-left = a + A = Aa. Bottom-right = a + a = aa. Result: 1 AA, 2 Aa, 1 aa. (5) COUNT for probability: Want probability of Aa? Count Aa boxes = 2. Probability = 2/4 = 50%. Quick probability shortcuts for common crosses: Aa × Aa: offspring probabilities = 1/4 AA (25%), 1/2 Aa (50%), 1/4 aa (25%). Phenotype: 3/4 dominant (75%), 1/4 recessive (25%). The "3:1 ratio" parents! Aa × aa: offspring probabilities = 1/2 Aa (50%), 1/2 aa (50%). Phenotype: 1/2 dominant, 1/2 recessive (1:1 ratio). The "test cross"! AA × aa: offspring probabilities = 100% Aa (all heterozygous). Phenotype: 100% dominant if A dominant. AA × AA or aa × aa: 100% same as parents (homozygous × homozygous = all homozygous). Memorizing these common crosses saves time, but you can always draw Punnett square to derive them! Remember: each CHILD is independent event—if two Aa parents have one child with aa (1/4 probability), their NEXT child STILL has 1/4 probability of aa (doesn't change based on first child). Probabilities are per offspring, not per family!

2

In rabbits, black fur (B) is dominant over white fur (b). A heterozygous black rabbit is crossed with a white rabbit: $Bb \times bb$. What is the probability an offspring will have genotype $Bb$?

$\frac{1}{2}$

$1$

$\frac{1}{4}$

$\frac{3}{4}$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). Each box represents one equally likely outcome, so PROBABILITY = (number of boxes with desired outcome) / (total number of boxes). Example: Aa × Aa cross creates 4-box Punnett: box 1 = AA (A from parent 1, A from parent 2), box 2 = Aa (A from 1, a from 2), box 3 = Aa (a from 1, A from 2), box 4 = aa (a from 1, a from 2). For probability of aa: 1 box out of 4 = 1/4 = 25% chance. For probability of Aa: 2 boxes out of 4 = 2/4 = 1/2 = 50% chance. For probability of dominant phenotype (AA or Aa if A is dominant): 3 boxes out of 4 = 3/4 = 75% chance. Simple counting from Punnett square gives all probabilities! For this Bb × bb cross, the Punnett square shows gametes B (50%) and b (50%) from the first parent and b (100%) from the second, resulting in offspring genotypes: Bb (2/4), bb (2/4); the probability of Bb is 2/4 or 1/2. Choice B correctly calculates the inheritance probability by properly setting up the Punnett square and counting the 2 boxes out of 4 for the Bb genotype. Choice A is incorrect because 1/4 might come from confusing this with a dihybrid cross or miscounting gametes—remember, the homozygous bb parent only contributes b, so half the outcomes are Bb! The Punnett square probability recipe: (1) WRITE parent genotypes: Parent 1 is Bb, Parent 2 is bb. (2) DETERMINE possible gametes: Parent 1 can make B or b gametes (50% each). Parent 2 can make b gametes (100%). (3) SET UP Punnett square: Put parent 1 gametes on top (B, b). Put parent 2 gametes on left (b, b). Creates 2×2 = 4 boxes. (4) FILL boxes: Combine gametes. Top-left box = B + b = Bb. Top-right = b + b = bb. Bottom-left = B + b = Bb. Bottom-right = b + b = bb. Result: 2 Bb, 2 bb. (5) COUNT for probability: Want probability of Bb? Count Bb boxes = 2. Total boxes = 4. Probability = 2/4 = 1/2. Quick probability shortcuts for common crosses: Aa × Aa: offspring probabilities = 1/4 AA (25%), 1/2 Aa (50%), 1/4 aa (25%). Phenotype: 3/4 dominant (75%), 1/4 recessive (25%). The "3:1 ratio" parents! Aa × aa: offspring probabilities = 1/2 Aa (50%), 1/2 aa (50%). Phenotype: 1/2 dominant, 1/2 recessive (1:1 ratio). The "test cross"! AA × aa: offspring probabilities = 100% Aa (all heterozygous). Phenotype: 100% dominant if A dominant. AA × AA or aa × aa: 100% same as parents (homozygous × homozygous = all homozygous). Memorizing these common crosses saves time, but you can always draw Punnett square to derive them! Remember: each CHILD is independent event—if two Aa parents have one child with aa (1/4 probability), their NEXT child STILL has 1/4 probability of aa (doesn't change based on first child). Probabilities are per offspring, not per family!

3

In a fish species, a striped pattern (A) is dominant over a solid pattern (a). Two heterozygous fish are crossed: $Aa \times Aa$. If an offspring shows the dominant phenotype (striped), what is the probability that it is a carrier (heterozygous $Aa$)?​

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{2}{3}$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). For the cross Aa × Aa, we get: 1 AA, 2 Aa, 1 aa. The question asks for conditional probability: given that offspring shows dominant phenotype (striped), what's the probability it's heterozygous Aa? Dominant phenotype includes AA and Aa genotypes. Among striped fish: 1 AA + 2 Aa = 3 total striped fish. Of these 3 striped fish, 2 are Aa carriers. Probability = 2/3 = 66.7%. Choice C correctly calculates this conditional probability by counting Aa among only the dominant phenotype offspring. Choice A (1/2) incorrectly uses the overall Aa probability without conditioning on the dominant phenotype. This demonstrates conditional probability in genetics: when we know additional information (fish is striped), we must recalculate probabilities using only the subset of outcomes consistent with that information.

4

In dogs, floppy ears (E) are dominant over pointed ears (e). A homozygous dominant dog is crossed with a heterozygous dog: $EE \times Ee$. What is the probability an offspring will have genotype $Ee$?

$25%$

$0%$

$50%$

$100%$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). Each box represents one equally likely outcome, so PROBABILITY = (number of boxes with desired outcome) / (total number of boxes). Example: Aa × Aa cross creates 4-box Punnett: box 1 = AA (A from parent 1, A from parent 2), box 2 = Aa (A from 1, a from 2), box 3 = Aa (a from 1, A from 2), box 4 = aa (a from 1, a from 2). For probability of aa: 1 box out of 4 = 1/4 = 25% chance. For probability of Aa: 2 boxes out of 4 = 2/4 = 1/2 = 50% chance. For probability of dominant phenotype (AA or Aa if A is dominant): 3 boxes out of 4 = 3/4 = 75% chance. Simple counting from Punnett square gives all probabilities! For this EE × Ee cross, the Punnett square shows E (100%) from the first parent and E (50%) or e (50%) from the second, resulting in offspring genotypes: EE (2/4), Ee (2/4); the probability of Ee is 2/4 or 50%. Choice C correctly calculates the inheritance probability by properly setting up the Punnett square and counting the 2 boxes out of 4 for Ee. Choice D is incorrect because 100% would be for the dominant phenotype (all EE or Ee show floppy ears), not specifically the Ee genotype—be sure to distinguish genotype from phenotype! The Punnett square probability recipe: (1) WRITE parent genotypes: Parent 1 is EE, Parent 2 is Ee. (2) DETERMINE possible gametes: Parent 1 can make E gametes (100%). Parent 2 can make E or e gametes (50% each). (3) SET UP Punnett square: Put parent 1 gametes on top (E, E). Put parent 2 gametes on left (E, e). Creates 2×2 = 4 boxes. (4) FILL boxes: Combine gametes. Top-left = E + E = EE. Top-right = E + e = Ee. Bottom-left = E + E = EE. Bottom-right = E + e = Ee. Result: 2 EE, 2 Ee. (5) COUNT for probability: Want probability of Ee? Count Ee boxes = 2. Total boxes = 4. Probability = 2/4 = 50%. Quick probability shortcuts for common crosses: Aa × Aa: offspring probabilities = 1/4 AA (25%), 1/2 Aa (50%), 1/4 aa (25%). Phenotype: 3/4 dominant (75%), 1/4 recessive (25%). The "3:1 ratio" parents! Aa × aa: offspring probabilities = 1/2 Aa (50%), 1/2 aa (50%). Phenotype: 1/2 dominant, 1/2 recessive (1:1 ratio). The "test cross"! AA × aa: offspring probabilities = 100% Aa (all heterozygous). Phenotype: 100% dominant if A dominant. AA × AA or aa × aa: 100% same as parents (homozygous × homozygous = all homozygous). Memorizing these common crosses saves time, but you can always draw Punnett square to derive them! Remember: each CHILD is independent event—if two Aa parents have one child with aa (1/4 probability), their NEXT child STILL has 1/4 probability of aa (doesn't change based on first child). Probabilities are per offspring, not per family!

5

In mice, normal tail (A) is dominant over tailless (a). Two heterozygous mice are crossed: $Aa \times Aa$. What is the probability an offspring will have the dominant phenotype (normal tail)?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{3}{4}$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). Each box represents one equally likely outcome, so PROBABILITY = (number of boxes with desired outcome) / (total number of boxes). Example: Aa × Aa cross creates 4-box Punnett: box 1 = AA (A from parent 1, A from parent 2), box 2 = Aa (A from 1, a from 2), box 3 = Aa (a from 1, A from 2), box 4 = aa (a from 1, a from 2). For probability of aa: 1 box out of 4 = 1/4 = 25% chance. For probability of Aa: 2 boxes out of 4 = 2/4 = 1/2 = 50% chance. For probability of dominant phenotype (AA or Aa if A is dominant): 3 boxes out of 4 = 3/4 = 75% chance. Simple counting from Punnett square gives all probabilities! For this Aa × Aa cross, the Punnett square shows gametes A (50%) and a (50%) from each parent, resulting in offspring genotypes: AA (1/4), Aa (2/4), aa (1/4); the dominant phenotype (normal tail, AA or Aa) occurs in 3/4 of outcomes. Choice C correctly calculates the inheritance probability by properly setting up the Punnett square and counting the 3 boxes out of 4 for AA or Aa. Choice A is incorrect because 1/4 is the probability of the recessive aa only, not the dominant—always add up all genotypes that show the dominant trait! The Punnett square probability recipe: (1) WRITE parent genotypes: Parent 1 is Aa, Parent 2 is Aa. (2) DETERMINE possible gametes: Parent 1 can make A or a gametes (50% each). Parent 2 can make A or a gametes (50% each). (3) SET UP Punnett square: Put parent 1 gametes on top (A, a). Put parent 2 gametes on left (A, a). Creates 2×2 = 4 boxes. (4) FILL boxes: Combine gametes. Top-left box = A + A = AA. Top-right = A + a = Aa. Bottom-left = a + A = Aa. Bottom-right = a + a = aa. Result: 1 AA, 2 Aa, 1 aa. (5) COUNT for probability: Want probability of dominant phenotype (AA or Aa)? Count AA + Aa boxes = 1 + 2 = 3. Probability = 3/4. Quick probability shortcuts for common crosses: Aa × Aa: offspring probabilities = 1/4 AA (25%), 1/2 Aa (50%), 1/4 aa (25%). Phenotype: 3/4 dominant (75%), 1/4 recessive (25%). The "3:1 ratio" parents! Aa × aa: offspring probabilities = 1/2 Aa (50%), 1/2 aa (50%). Phenotype: 1/2 dominant, 1/2 recessive (1:1 ratio). The "test cross"! AA × aa: offspring probabilities = 100% Aa (all heterozygous). Phenotype: 100% dominant if A dominant. AA × AA or aa × aa: 100% same as parents (homozygous × homozygous = all homozygous). Memorizing these common crosses saves time, but you can always draw Punnett square to derive them! Remember: each CHILD is independent event—if two Aa parents have one child with aa (1/4 probability), their NEXT child STILL has 1/4 probability of aa (doesn't change based on first child). Probabilities are per offspring, not per family!

6

A trait is controlled by a single gene where $B$ is dominant over $b$. Two heterozygous parents are crossed: $Bb \times Bb$. What is the probability an offspring will have genotype $bb$?

$0$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{4}$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Bb, can contribute B or b—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). For Bb × Bb, the square shows 1 BB, 2 Bb, and 1 bb out of 4 boxes, so the probability of bb is 1/4. Choice C correctly calculates this inheritance probability by properly setting up the Punnett square and counting the boxes for the homozygous recessive genotype. Something like Choice A (1/2) might come from counting heterozygotes instead, but focus on the question asking for bb specifically—keep up the good work! The Punnett square probability recipe: (1) WRITE parent genotypes: Both Bb. (2) DETERMINE possible gametes: Each makes B or b. (3) SET UP and FILL: 1 BB, 2 Bb, 1 bb. (4) COUNT for bb: 1/4. Shortcut for Bb × Bb: 1/4 bb, just like the classic 3:1 phenotype ratio—you've got this!

7

In pea plants, the allele $P$ (purple flowers) is dominant over $p$ (white flowers). Two heterozygous plants are crossed: $Pp \times Pp$. What is the probability that an offspring will have white flowers?

$75%$

$50%$

$25%$

$100%$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Pp, can contribute P or p—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). Each box represents one equally likely outcome, so PROBABILITY = (number of boxes with desired outcome) / (total number of boxes); for Pp × Pp, the square shows 1 PP, 2 Pp, and 1 pp, so the probability of white flowers (pp genotype, since p is recessive) is 1 out of 4 boxes, or 1/4 = 25%. Choice C correctly calculates this inheritance probability by properly setting up the Punnett square and counting the boxes for the recessive phenotype. A common distractor like Choice B (75%) might come from mistakenly counting the dominant phenotype instead, but remember, white flowers require the homozygous recessive genotype, which is only 1/4. The Punnett square probability recipe: (1) WRITE parent genotypes: Both Pp. (2) DETERMINE possible gametes: Each can make P or p (50% each). (3) SET UP and FILL the 2×2 square: Results in 1 PP, 2 Pp, 1 pp. (4) COUNT for probability: For pp, 1/4 = 25%. Quick shortcut for Pp × Pp: 3/4 dominant purple, 1/4 recessive white—keep practicing these to build confidence!

8

In a plant species, $T$ (tall) is dominant over $t$ (short). A homozygous dominant plant is crossed with a heterozygous plant: $TT \times Tt$. What is the probability that an offspring will be short?

$0%$

$25%$

$50%$

$100%$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is TT, contributes only T) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). For TT × Tt, the square shows 2 TT and 2 Tt out of 4 boxes, with no tt, so the probability of short (tt, recessive) is 0/4 = 0%. Choice A correctly calculates this inheritance probability by properly setting up the Punnett square and noting the absence of the recessive homozygous outcome. A distractor like Choice C (50%) might confuse this with a test cross, but here the homozygous dominant ensures all offspring are tall—nice observation! The Punnett square probability recipe: (1) WRITE parent genotypes: TT and Tt. (2) DETERMINE possible gametes: TT makes only T; Tt makes T or t. (3) SET UP and FILL: All boxes TT or Tt. (4) COUNT for tt: 0/4 = 0%. Shortcut: Homozygous dominant × heterozygous = 100% dominant phenotype—keep building those skills!

9

In a cross $Dd \times Dd$ (where $D$ is dominant over $d$), what is the probability an offspring will have the recessive phenotype?

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{3}{4}$

$1$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Dd, can contribute D or d—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). For Dd × Dd, the square shows 1 DD, 2 Dd, 1 dd, so recessive phenotype (dd) is 1/4. Choice B correctly calculates this inheritance probability by properly setting up the Punnett square and counting the box for the homozygous recessive. Choice A (3/4) might be the dominant instead, but the question specifies recessive—keep focusing on keywords! The Punnett square probability recipe: (1) WRITE genotypes: Both Dd. (2) DETERMINE gametes: Each D or d. (3) SET UP and FILL: 1 DD, 2 Dd, 1 dd. (4) COUNT for dd: 1/4. Shortcut for Dd × Dd: 1/4 recessive phenotype—fantastic progress!

10

In a monohybrid cross $Aa \times aa$, each offspring is an independent event. If a couple has four children, what is the probability that the fourth child will have genotype $aa$?

$\frac{1}{4}$

$1$

$\frac{3}{4}$

$\frac{1}{2}$

Explanation

This question tests your ability to use Punnett squares and probability to predict the likelihood of specific genotypes or phenotypes in offspring from parents with known genotypes. Calculating inheritance probabilities uses Punnett squares as a tool to visualize all possible offspring outcomes: set up the square by putting one parent's possible gametes across the top (if parent is Aa, can contribute A or a—two possibilities, each 50% chance) and the other parent's possible gametes down the left side, then fill in boxes by combining gametes (top gamete + left gamete = offspring genotype in that box). For Aa × aa, the square shows 2 Aa and 2 aa out of 4, so probability of aa is 2/4 = 1/2, and since each child is independent, this holds for the fourth child regardless of previous ones. Choice A correctly calculates this inheritance probability by recognizing independence and counting boxes for aa. A distractor like Choice B (1/4) might mix it with a different cross, but independence means each offspring resets the odds—super insight! The Punnett square probability recipe: (1) WRITE genotypes: Aa and aa. (2) DETERMINE gametes: Aa: A or a; aa: a. (3) SET UP and FILL: 2 Aa, 2 aa. (4) COUNT for aa: 1/2. Remember: Probabilities are per offspring—keep that independence in mind!

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