AnswersMath Models AUnderstanding Probability

Understanding Probability Answers

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5

An event with a probability of 0 is An event with a probability of 1 is

Answers:
Selection 1:Impossible
Selection 2:Certain
6

Which of the following events has a probability of 1? Check all that apply.

A
landing on a blue or red space on a spinner with 1 blue space and 1 red space
B
choosing a red marble from a bag containing red and green marbles
C
drawing a peanut from a bag of trail mix with 4 types of nuts
D
drawing a red card from a stack of 20 red cards
E
getting a heads or a tails when flipping a coin
8

Which of the following are ways to express the same probability? Check all that apply.

A
30%
B
3/10
C
1/3
D
0.3
E
0.03
10

P(event) =

Answer:

50%

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12

Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her calculation as follows.P(less than or equal to 2):Did she make an error? Explain.

Answer:

Yes, she made an error. Caitlyn should have taken the desired outcomes, rolling a 3, 4, 5, or 6, and divided that by the total possible outcomes to get a probability of 4/6, or 2/3. She should have subtracted this probability from 1 to get the complement, which is 2/6, or 1/3.

13

P(black) =

Answer:

1/5

15

When you are determining the probability of an event, why must the probability be between 0 and 1? Explain your answer.

Answer:

Probability is the ratio of the desired outcomes to all possible outcomes. If there are no desired outcomes, the ratio is 0 over all possible outcomes, thus 0. If the event is all possible outcomes, the ratio is all possible outcomes over all possible outcomes, thus 1.

16

Which of the following did you use in your response? Check all that apply.

A
Yes, she made an error.
B
The formula is desired outcomes divided by all possible outcomes.
C
The probability should be 1/3.
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18

Which of the following did you use in your response? Check all that apply.

A
Probability is desired outcomes over all possible outcomes.
B
No desired outcomes would be 0 over all possible outcomes.
C
If the desired outcome is all possible outcomes, the ratio is 1.

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