Probability - SAT Math
Card 0 of 41
What is the general formula for probability of a favorable outcome?
What is the general formula for probability of a favorable outcome?
$P(A)=\frac{\text{favorable outcomes}}{\text{total outcomes}}$.
$P(A)=\frac{\text{favorable outcomes}}{\text{total outcomes}}$.
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What is the range of probability values.
What is the range of probability values.
Between 0 and 1 inclusive.
Between 0 and 1 inclusive.
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What is the formula for complementary probability?
What is the formula for complementary probability?
$P(\text{not A}) = 1 - P(A)$.
$P(\text{not A}) = 1 - P(A)$.
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What is the addition rule for mutually exclusive events?
What is the addition rule for mutually exclusive events?
$P(A \text{ or } B) = P(A) + P(B)$.
$P(A \text{ or } B) = P(A) + P(B)$.
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What is the general addition rule in probability?
What is the general addition rule in probability?
$P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)$.
$P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)$.
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What is the multiplication rule for independent events?
What is the multiplication rule for independent events?
$P(A \text{ and } B) = P(A)P(B)$.
$P(A \text{ and } B) = P(A)P(B)$.
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What is the conditional probability formula?
What is the conditional probability formula?
$P(A|B)=\frac{P(A \text{ and } B)}{P(B)}$.
$P(A|B)=\frac{P(A \text{ and } B)}{P(B)}$.
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What is the formula for probability of 'at least one' event?
What is the formula for probability of 'at least one' event?
$1 - P(\text{none})$.
$1 - P(\text{none})$.
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If $P(A)=0.4$, $P(B)=0.5$, $P(A \text{ and } B)=0.2$, find $P(A \text{ or } B)$.
If $P(A)=0.4$, $P(B)=0.5$, $P(A \text{ and } B)=0.2$, find $P(A \text{ or } B)$.
$0.4+0.5-0.2=0.7$.
$0.4+0.5-0.2=0.7$.
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If $P(A)=0.3$, $P(B)=0.6$, independent events, find $P(A \text{ and } B)$.
If $P(A)=0.3$, $P(B)=0.6$, independent events, find $P(A \text{ and } B)$.
$0.18$.
$0.18$.
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If $P(A)=0.3$ and $P(B|A)=0.5$, find $P(A \text{ and } B)$.
If $P(A)=0.3$ and $P(B|A)=0.5$, find $P(A \text{ and } B)$.
$0.15$.
$0.15$.
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If two fair dice are rolled, what is $P(\text{sum}=7)$?
If two fair dice are rolled, what is $P(\text{sum}=7)$?
$\frac{6}{36}=\frac{1}{6}$.
$\frac{6}{36}=\frac{1}{6}$.
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If two fair dice are rolled, what is $P(\text{both even})$?
If two fair dice are rolled, what is $P(\text{both even})$?
$\frac{9}{36}=\frac{1}{4}$.
$\frac{9}{36}=\frac{1}{4}$.
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If a coin if flipped twice, what is $P(\text{at least one head})$?
If a coin if flipped twice, what is $P(\text{at least one head})$?
$1-(\frac{1}{2})^2=\frac{3}{4}$.
$1-(\frac{1}{2})^2=\frac{3}{4}$.
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A bag has 3 red, 2 blue marbles. On a single draw, what is: $P(\text{red})$?
A bag has 3 red, 2 blue marbles. On a single draw, what is: $P(\text{red})$?
$\frac{3}{5}$.
$\frac{3}{5}$.
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What is the fundamental counting principle?
What is the fundamental counting principle?
Multiply the number of outcomes for each stage.
Example: if a restaurant offers a choice of 3 sandwiches, 2 sides, and 4 drinks in its value meals, multiply 3 x 2 x 4 to see 24 total value meal combinations.
Multiply the number of outcomes for each stage.
Example: if a restaurant offers a choice of 3 sandwiches, 2 sides, and 4 drinks in its value meals, multiply 3 x 2 x 4 to see 24 total value meal combinations.
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Number of outcomes when rolling two dice.
Number of outcomes when rolling two dice.
$6\times6=36$.
$6\times6=36$.
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Number of outcomes flipping 3 coins.
Number of outcomes flipping 3 coins.
$2^3=8$.
$2^3=8$.
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Expected value definition.
Expected value definition.
Weighted average of all possible outcomes by probability.
Weighted average of all possible outcomes by probability.
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Probability of flipping heads on one coin.
Probability of flipping heads on one coin.
$\frac{1}{2}$.
$\frac{1}{2}$.
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