SOLUTION: In a certain high-risk group, the chance of a person having suffered a heart attack is 70%. If four persons are chosen from the group, find the probability that at least one will

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Question 464956: In a certain high-risk group, the chance of a person having suffered a heart attack is 70%. If four persons are chosen from the group, find the probability that at least one will have had a heart attack.
Found 2 solutions by ewatrrr, edjones:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p= .70 and q = .30
nCx =
P(at least one in four) = 1 - P(none)
P(none) = .30^4
P(at least one in four) = 1 - .30^4 = .9919
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
1-.7=.3
.3^4=.0081 prob that none have a heart attack.
1-.0081=.9919 the probability that at least one will have had a heart attack.
.
Ed

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