Question 655174: 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?
b. What is the probability that at most one will break down?
c. What is the probability that neither will break down?
d. What is the probability that one or the other will break down?
e. What is the probability that exactly one will break down?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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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