8
QuizMultiple Choice

Probability of Compound Events — Quiz

Question 8 • Grade 7 Mathematics

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

Answer
A
1 over 25
B
1 over 50
C
1 over 100
D
1 over 45

Explanation

There are 10 juice boxes total, and 2 are grape. The chance the first box is grape is 2/10; then 1 grape remains among 9 boxes, so the chance the second is grape is 1/9. Multiply: (2/10) × (1/9) = 2/90 = 1/45. The correct choice is 1 over 45.

AI-written and checked against the verified answer.

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