SOLUTION: 1 in 6 donated hearts for a transplant come from a person without insurance. If 8 transplants are selected at random, what is the probability: 1. That none of them received hea

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Question 662187: 1 in 6 donated hearts for a transplant come from a person without insurance. If 8 transplants are selected at random, what is the probability:
1. That none of them received hearts from people without insurance?
2. That all 8 received hearts from people without insurance?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p(w/o insurance)= 1/6 & q = 5/6 and n = 8
8 transplants are selected at random
P(none from w/o ins)= 8C0%281%2F6%29%5E0%285%2F6%29%5E8
P(8 from w/o ins) = 8C8%281%2F6%29%5E8%285%2F6%29%5E0