A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink

Chapter 1, Problem 1.2-16

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QUESTION:

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 nine pieces of candy randomly from the box, without replacement, give the probability that (a) Three of the hearts are white. (b) Three are white, two are tan, one is pink, one is yellow, and two are green.

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QUESTION:

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 nine pieces of candy randomly from the box, without replacement, give the probability that (a) Three of the hearts are white. (b) Three are white, two are tan, one is pink, one is yellow, and two are green.

ANSWER:

Step 1 of 4

(a)

The order is not important and because of that we will use combinations.

3 of 9 hearts are white, because we must select 3 of possible 19 white hearts and probability of that is

 

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