Understanding Probability Answers

16 verified answers
3

Question text not available

Answers:
Selection 1:Impossible
Selection 2:Certain
5

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
9

P(event) =

Answer:

50%

11

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Question illustration
Answer:

No, choosing a blue marble does not represent the complement event of choosing a red marble. The complement of choosing a red marble is choosing any marble that is not red (which includes both blue and purple marbles). Since there are purple marbles, the probability of red (1/5) and blue (2/5) does not sum to 1, as required for complementary events.

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.

Question illustration
Answer:

Yes, Caitlyn made an error. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For the complement of rolling a number greater than 2 (which is rolling a 1 or 2), there are 2 favorable outcomes and 6 total possible outcomes. Her calculation of 4/2 is incorrect; the correct probability should be 2/6, which simplifies to 1/3.

13

P(black) =

Answer:

1/5

14

Question text not available

Answers:
Selection 1:4/9
Selection 2:Pulling either an apple or a pear from the bag
Selection 3:5/9
Selection 4:Orange
15

Complementary events must have a sum of 1. Which of the following did you include in your response? Check all that apply.

A
No, the probability of choosing a red marble is not the complement of choosing a blue marble.
B
P(red) + P(blue) = 3/5, not 1.
C
The number of blue and red marbles does not add to the total number of outcomes.
D
There are other marbles besides red ones and blue ones.
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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