Question

Flip a fair coin 5 times. Let random variable X = "number of heads."What is P(X = 1)?

Answer 1

Answer:

The probability is 1/32

Step-by-step explanation:

What the question asks here is that in a throw of a coin 5 times, what is the probability that we have the head being revealed once in the 5 throws

for a fair coin, we can only get a head or a tail

So the probability of getting a head equals that of getting a tail

Since total probability is 1; then the probability of each will be 1/2

So, we can now have the probability as follows;

1 head (1/2) and 4 tails (1/2 * 1/2 * 1/2 * 1/2)

1/2 * 1/2 * 1/2 * 1/2 * 1/2 = (1/2)^5 = 1/32