Most concerened about part (b) please use as much detail as possible! thank you!

Question

Most concerened about part (b) please use as much detail as possible! thank you!!

1. (10 points) A box of candy hearts contains 52 hearts of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orange, and 6 are green. If you select 8 pieces of candy randomly from the box, without replacement, find the probability that (a) (3 points) Two of the hearts are white. (b) (4 points) At least two hearts are white. (c) (3 points) Two are white, two are tan, one is pink, one is yellow, and two are green.

Explanation / Answer

A) P(2 hearts are white) = 19C2 * 33C6 / 52C8 = 0.2517

B) P(at least 2 hearts) = 1 - [P(0 hearts) + P(1 hearts)]

= 1 - [33C8 / 52C8 + 19C1 * 33C7 / 52C8]

= 0.8737

C) probability = 19C2 * 10C2 * 7C1 * 5C1 * 6C2 / 52C8 = 0.0054

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