A bag contains 80 balls numbered 1, . . . , 80. Before the game starts,...
A bag contains 80 balls numbered 1, . . . , 80. Before the game starts, you choose 10 different numbers from amongst 1, . . . , 80 and write them on a piece of paper. Then 20 balls are selected (without replacement) out of the bag at random. (a) What is the probability that all your numbers are selected? (b) What is the probability that none of your numbers is selected? (c) What is the probability that exactly 4 of your numbers are selected?
Homework Answers
1) what is the probability that all your numbers are
selected?
number of ways to succeed:: 10C10*70C10
number of possible sets of 20:: 80C20
Answer: (10C10*70C10)/80C20 = 0.24094
2)what is the probability that none of your numbers is
selected?
Answer: 70C20/80C20 = 0.2494
3) what is the probability that exactly 4 of your numbers are
selected?
(10C4*70C16)/(80C20) = 0.1473
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