What is the probability that exactly two students will be seniors and one sophomore?

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What is the probability that exactly two students will be seniors and one sophomore?

A math club of the local university consists of 28 members: 4 freshman,11 sophomores,7juniors, and 6 seniors. Three members are needed to be chosen to help out at the annual math convention. It was decided to draw names randomly.

2007-10-26 17:30:14 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

6C2 = 15 ways to pick 2 seniors
15(11) = 165 ways to pick 2 seniors and 1 sophomore.
28C3 = 3276 ways to pick 3 students.
probability of the outcome 165/3276 = 0.0503663

2007-10-26 17:38:30 · answer #1 · answered by Philo 7 · 0⤊ 0⤋

1/33

2007-10-26 17:36:00 · answer #2 · answered by Ahmed A 2 · 0⤊ 0⤋

1/33(?!!!???!) that is way too small of a number!!!!!!!!!!!
My working out came up with like 1/19656... a little too big? (1/28 x 1/27 x 1/26)

2007-10-26 17:41:34 · answer #3 · answered by Anonymous · 0⤊ 0⤋