Question

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads? a. 0.00158 b. 53130 c. 1660.3 d. 0.1900

Answer 1

the correct answer is a

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we have given that

Number of times the coin is flipped = 25 times

Probability of getting head in each time =
`(1)/(2)`

Probability of not getting head in each turn =
`1-(1)/(2)=(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)((1)/(2))^5* ((1)/(2))^(20)\\\\P(X=5)=^(25)C_5(0.5)^5* (0.5)^(20)\\\\P(X=5)=0.00158`

Hence, Option 'A' is correct.