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: 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.