Middle School Math Quiz: Understand Probability As Number 0 1

What this quiz covers

This quiz focuses on Understand Probability As Number 0 1, giving you a quick way to practice the rules, question types, and explanations that matter most for Middle School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. $0.03$, $0.49$, $0.91$
2. $0.91$, $0.49$, $0.03$ (correct answer)
3. $0.49$, $0.91$, $0.03$
4. $0.91$, $0.03$, $0.49$

Question 2

1. $0.15$ (correct answer)
2. $0.48$
3. $0.52$
4. $0.85$

Question 3

1. $1.5$ (likely)
2. $\dfrac{1}{2}=0.5$ (equally likely)
3. $\dfrac{1}{6}\approx 0.17$ (unlikely) (correct answer)
4. $0$ (impossible)

Question 4

1. $\frac{1}{2}$ (correct answer)
2. $-\frac{1}{2}$
3. $1$
4. $2$

Question 5

1. Player B is best because fractions are always higher than decimals or percents
2. Player C is best with $0.42$, then Player A with $40\%$, then Player B with $\frac{3}{8}$ (correct answer)
3. All three players perform equally since their probabilities are all close to $\frac{1}{2}$
4. Player A is best because $40\%$ is the largest number shown

Question 6

1. $P(\text{heads})=2$; heads is very likely
2. $P(\text{heads})=\tfrac{1}{2}$; heads is equally likely as tails (correct answer)
3. $P(\text{heads})=1$; heads is certain
4. $P(\text{heads})=-\tfrac{1}{2}$; heads is unlikely

Question 7

1. $P(\text{pencil})=0$
2. $P(\text{pencil})=1$
3. $P(\text{pencil})=\tfrac{1}{2}$ (correct answer)
4. $P(\text{pencil})=100$

Question 8

1. Winning is very likely because $0.9$ is close to $1$. (correct answer)
2. Winning is impossible because $0.9$ is near $0$.
3. Winning is certain only if $P(\text{win})=100$.
4. Winning is equally likely as losing because $0.9=\dfrac{1}{2}$.

Question 9

1. $\dfrac{1}{6}$ (unlikely)
2. $1$ (certain)
3. $\dfrac{1}{2}$ (equally likely)
4. $0$ (impossible) (correct answer)

Question 10

1. Rain is more likely because $0.3>0.7$.
2. They are equally likely because $0.3+0.7=0.5$.
3. Sun is more likely because $0.7>0.3$. (correct answer)
4. Rain is certain because $0.3$ is close to $1$.

Question 11

1. Rolling an even number
2. Rolling a 7 (correct answer)
3. Rolling a 3
4. Rolling a number less than 6

Question 12

1. At $0.5$, because $0.25$ means equally likely.
2. At $1$, because $0.25$ means certain.
3. At $0.75$, because $0.25$ is closer to $1$.
4. At $0.25$, between 0 and $\dfrac{1}{2}$. (correct answer)

Question 13

1. Both prizes are less likely than an event that is neither likely nor unlikely (correct answer)
2. The small prize is more likely, and the large prize is less likely than neither likely nor unlikely
3. Both prizes are more likely than an event that is neither likely nor unlikely
4. The large prize is more likely, and the small prize is less likely than neither likely nor unlikely

Question 14

1. Products are likely to have defects since the probability is greater than zero
2. Products are very likely to have defects since $\frac{11}{50}$ is a large fraction
3. Products have an equal chance of having or not having defects
4. Products are unlikely to have defects since $\frac{11}{50} = 0.22$ is close to zero (correct answer)

Question 15

1. No, because $\frac{1}{3}$ is greater than $0$, so the event is at least somewhat likely to happen
2. No, because $\frac{1}{3} \approx 0.33$ is close enough to $0.5$ to be considered likely
3. Yes, because $\frac{1}{3} \approx 0.33$ is closer to $0$ than to $1$, indicating an unlikely event (correct answer)
4. No, because probabilities involving fractions cannot be classified as likely or unlikely

Question 16

1. Drawing blue has probability $\frac{3}{5}$ and is more likely than drawing red (correct answer)
2. Drawing blue has probability $\frac{2}{3}$ and is much more likely than drawing red
3. Drawing blue has probability $\frac{1}{5}$ and is much less likely than drawing red
4. Drawing blue has the same probability as red since both are around $\frac{1}{2}$

Question 17

1. Rain is unlikely because the fraction has a large denominator
2. Rain is neither likely nor unlikely since it's expressed as a fraction
3. Rain is likely because $\frac{7}{8} = 0.875$ is close to 1 (correct answer)
4. Rain is impossible because probabilities must be whole numbers

Question 18

1. Three-quarters of the way from 0 to 1, closer to 1 (correct answer)
2. Exactly at $\frac{1}{2}$, because $0.75=0.5$
3. Near 0, because $0.75$ is less than $\frac{1}{2}$
4. To the right of 1, because $0.75$ is greater than 1

Question 19

1. Rain is impossible because 0.30 is close to 0
2. Rain is somewhat unlikely (less than a 50% chance) (correct answer)
3. The probability should be 30, not 0.30
4. Rain is certain because 0.30 is close to 1

Question 20

1. Mia: $P=50$, Noah: $P=10$; Mia is more likely
2. Mia: $P=0.50$, Noah: $P=0.10$; Mia is more likely (correct answer)
3. Mia: $P=0.10$, Noah: $P=0.50$; Noah is more likely
4. Mia: $P=1.50$, Noah: $P=0.10$; Mia is more likely