AnswersMath Models AUnderstanding ProbabilityQuestion 3
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Understanding Probability

Question 3 • Math Models A

Which events have a probability of 25 percent? Select three options.

Answer
A
choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans
B
rolling a number less than 3 on a six-sided die
C
spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4
D
choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters
E
choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Explanation

A 25% probability is one out of four, or 1/4. For A, there are 2 green jelly beans out of 8 total, so the probability is 2/8 = 1/4. For C, only the number 1 is less than 2, giving 1 of 4 sections; for E, 13 of the 52 cards are spades, and 13/52 = 1/4. B is 2/6, and D is 3/16, so neither is 25%.

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