SOLUTION: Question: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .76, the probability the second truck is av

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Question 958623: Question:
All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .76, the probability the second truck is available is .54, and the probability that both trucks are available is .44:
What is the probability neither truck is available?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .76, the probability the second truck is available is .54, and the probability that both trucks are available is .44:
What is the probability neither truck is available?
Draw a Venn diagram with two intersecting circles inside a rectangle
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Let the total in the rectangle = 100
The intersection of the 2 circles has 44
The 1st circle has 76-44 = 32
The 2nd circle as 54-44 = 10
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1st OR 2nd = 10+32+44 = 86
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Your Problem:
P(1st OR 2nd)' = 100-86 = 14
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Ans P(1st OR 2nd)' = 0.14
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Cheers,
Stan H.
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