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The probability of event A is $P\left(A\right)=0.05$P(A)=0.05​ . Find the probability of the complement of event A.$P\left(\overline{A}\right)=$P(A)=​

Question

The probability of event A is P(A)=0.05P\left(A\right)=0.05P(A)=0.05​ . Find the probability of the complement of event A.P(A)=P\left(\overline{A}\right)=P(A)=​

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Solution

The probability of the complement of an event is given by the formula:

P(A') = 1 - P(A)

Given that P(A) = 0.05, we can substitute this into the formula to find the probability of the complement of A:

P(A') = 1 - 0.05 = 0.95

So, the probability of the complement of event A is 0.95.

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