SOLUTION: A manufacturer purchases two machines A and B. The probability that A will last 5 years is 4/5 and the probability that B will last 5 years is 3/4. Find the probability that: 1)

Question 1191812: A manufacturer purchases two machines A and B. The probability that A will last 5 years is 4/5
and the probability that B will last 5 years is 3/4.
Find the probability that:
1)both machines will last 5 years
2)only machine a will last 5 years
3) at least one of the machine will last 5 years
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. is the product if they are independent. That is (4/5)(3/4))=3/5
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b. That is (4/5)(1/4)=1/5, the (1/4) is probability B does not last 5 years.
-
c. At least one will last 5 years is 1- prob (both don't)
=1-(1/5)(1/4)
=19/20
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