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

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.

Answer 2

The correct answer is a