Rachel's CafeAll things coffee…

Jamal has 8 red jelly beans and 9 green jelly beans in a bag. He reaches into his bag and comes out with 4 jel?

(a) What is the probability that the jelly beans in his hand are all red?

(b) What is the probability that the jelly beans in his hand are all the same color (all red or all green)?

(c) What is the probability that 3 are red and 1 is green?

(a)

Of the 8 reds, choose 4; of the 9 greens choose 0. The probability is

(8C4) (9C0) / (17C4) = [8! /( 4! 4! )][9! / ( 9! 0! )] / [17! / (4! 13!)] = (70/1) / 2380 = 1/34

(b)

Do the same calculation as in (a) but for 4 greens, then add your result to the result in (a) (the two outcomes are mutually exclusive, so you add the probabilities)

(c)

(8C3) (9C1) / (17C4) = 56*9/2380 = 504/2380 = 18/85

★ EPIC BEAN BAG Fail

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