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Firdavs [7]
3 years ago
6

A town has two fire engines, a and b, that operate independently. the probability that engine a is available when needed is 0.96

. the probability that engine b is available when needed is also 0.96. 12. what is the probability that neither fire engine is available when needed?
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
P(both unavailable) = P(A unavailable)*P(B unavailable) = 0.04^2 = 0.0016
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Answer:

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Step-by-step explanation:

The permutations formula is important to solve this question.

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The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

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So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

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3 years ago
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