13
QuizMultiple Choice

Probability with Combinations and Permutations — Quiz

Question 13 • Concepts in Probability and Statistics

A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events. What is the approximate probability that the student will choose to participate in two team sports?

Answer
A
0 point 5 4 5
B
0 point 2 7 3
C
0 point 2 2 7
D
0 point 1 1 4

Explanation

There are 12 events total: 4 track, 2 academic, and 6 team sports. The chance of choosing two team sports is the number of pairs of team sports divided by all possible pairs: 6C2 ÷ 12C2 = 15 ÷ 66 ≈ 0.227. So the approximate probability is 0.227, choice B.

AI-written and checked against the verified answer.

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