Question

Determine which scenario could be found using P(A) =

probability of choosing two even numbers and one odd number for a three-digit lock code
probability of choosing first-place, second-place, and third-place winners from schools with five and eight competitors, respectively
probability of choosing two male and one female committee members from a group containing five men and eight women
probability of choosing two yellow marbles and one red marble from a bag containing three yellow marbles, four red marbles, and five green marbles

Answer 1

If P(A) = [C(5,2)·C(8,1)] / C(13,3), that corresponds to:
- probability of choosing two male and one female committee members from a group containing five men and eight women.

Reason: you choose 2 men from 5 (C(5,2)) and 1 woman from 8 (C(8,1)) out of all ways to choose any 3 from 13 (C(13,3)).

(For reference: scenario 4 would use a similar combination formula [C(3,2)·C(4,1)]/C(12,3); scenario 1 is ordered with repetition allowed, and scenario 2 involves permutations of distinct winners.)