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Verified Answer :

the correct answer is a

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Number of times the coin is flipped = 25 times

Probability of getting head in each time = \(\frac{1}{2}\)

Probability of not getting head in each turn = \(1-\frac{1}{2}=\frac{1}{2}\)

So, by using "Binomial distribution", here n = 25 and

We need exactly 5 heads .

so, it will be written as

\(P(X=5)=^{25}C_{5}(\frac{1}{2})^5\times (\frac{1}{2})^{20}\\\\P(X=5)=^{25}C_5(0.5)^5\times (0.5)^{20}\\\\P(X=5)=0.00158\)

Hence, Option 'A' is correct.