SOLUTION: The student body government is composed of 4 sophomores 5 juniors and 6 seniors. What is the probability that a committee of 6 students will contain the following? a.) 2 sophomore

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Question 1020746: The student body government is composed of 4 sophomores 5 juniors and 6 seniors. What is the probability that a committee of 6 students will contain the following?
a.) 2 sophomores
b.) 2 juniors and 3 seniors
c.) at least 4 seniors
Found 2 solutions by ewatrrr, Shydudee98:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
T = 4So, 5Jr, 6S
What is the probability that a committee of 6 students will contain the following?
P(0f an event) = Number of favorable outcomes/ Total number of outcomes
Examples below based on combination probability: nCr= n!/[r!(n-r)!]
a.) 2 sophomores P = (4C2)(11C4) / 15C6 = 6/5005
b.) 2 juniors and 3 seniors P = (5C2)(6C3)(4C1)/ 15C6 = 10*20*4/5005= 800/5005
c.) at least 4 seniors P = (6C4)(11C2)/15C6 + (6C5)(11C1)/15C6 + (6C6)(11C0) 15C6
I use an inexpensive Casio fx-115 ES plus Calculator for Statistical Problems

Answer by Shydudee98(1) (Show Source):
You can put this solution on YOUR website!
B