SOLUTION: A collection of 13 greeting cards consists of 8 birthday cards and 5 thank-you cards. 7 of the cards are randomly selected for purchase. What is the probability that the 7 purch

Question 842528: A collection of 13 greeting cards consists of 8 birthday cards and 5 thank-you cards.
7 of the cards are randomly selected for purchase.
What is the probability that the 7 purchased cards consist of 4 birthday cards and 3 thank-you cards?

Found 2 solutions by ewatrrr, hamsanash1981@gmail.com:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
P(4B and 3TY) =
Answer by hamsanash1981@gmail.com(151) (Show Source): You can put this solution on YOUR website!
Given that a collection has 13 cards and no of ways selecting 7 cards is 13C7.
i.e., 858
no of ways selecting 4 birthday cards from 8 is 8C4 = 70
no of ways selecting 3 thank you cards from 5 is 5C3 = 10
Probability of selecting 4 birth day card and 3 thank you card is = 70*10/858
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