<PRE><B>Question 655174</B>
The probability that machine A will break down on a particular day is P(A) = 1/50; similarly, for machine B, P(B) = 1/100. Assuming independence, on a particular day, 
a. What is the probability that both will break down?z::(1/50)(1/100)= 1/5000
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b. What is the probability that at most one will break down?
::: 1 - 1/5000 = 4999/5000
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c. What is the probability that neither will break down?::(49/50)(99/100) 
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d. What is the probability that one or the other will break down?::::
(1/50)(99/100) + (1/100)(49/50
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e. What is the probability that exactly one will break down?
::: 1 - P(none break down) = 1 - (49/50)(99/100)
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Cheers,
Stan H.
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