You have a bag of jelly beans. The bag contains 14 red jelly beans, 18 white jel

Question

You have a bag of jelly beans. The bag contains 14 red jelly beans, 18 white jelly beans, and 19 yellow jelly beans. You reach in and pick 6 jelly beans at random. Determine the probability that you picked 4 red jelly beans and 2 yellow jelly beans. ________________? Start over, so the bag again contains 14 red jelly beans, 18 white jelly beans, and 19 yellow jelly beans. Reach in and pick 6 jelly beans at random. Determine the probability that you picked 4 red jelly beans. (The other two are not red. There are no other restrictions on the other two.) ____________?

Explanation / Answer

probability that you picked 4 red jelly beans and 2 yellow jelly beans = (14C4)(19C2) / (51C6)

= (1001*171) / 18009460

=171171 / 18009460

probability that you picked 4 red jelly beans(The other two are not red. There are no other restrictions on the other two. => 3 cases

a)4 red, 1 white , 1 yellow = 14C4 * 18C1 * 19C1

b)4 red, 2 white = 14C4 * 18C2

c)4 red, 2 yellow = 14C4 * 19C2

Probability = [ (14C4 * 18C1 * 19C1) + (14C4 * 18C2) + (14C4 * 19C2)] / 51C6

=(342342+153153+171171) / 18009460

=666666/18009460

=0.037

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