18
QuizMultiple Choice

Applications of Probability — Test

Question 18 • Geometry

A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the bag. What is the approximate probability one of the chosen marbles is orange and one of the chosen marbles is green?

Answer
A
0 point 0 8 8 8 9
B
0 point 1 3 3 3 3
C
0 point 0 2 2 2 2
D
0 point 0 4 4 4 4

Explanation

There are 10 marbles total, so the number of ways to draw 2 is 10 × 9 ÷ 2 = 45. To get one orange and one green, there are 2 choices for the orange and 2 choices for the green, giving 2 × 2 = 4 favorable pairs. The probability is 4 ÷ 45 ≈ 0.0889, so the approximate probability is 0.08889, choice C.

AI-written and checked against the verified answer.

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