Question

Can someone explain how to do number 3 please?! The answer is 1 over 32

Answer 1

Since we are doing flips of a coin, we can agree that each flip is independent of all of the other.

The probability that a coin lands on heads is 1/2, just as the probability that a coin lands on tails is 1/2.

Since each event is independent, we take the probabilities of the events and multiply them together to get the overall probability:

P(H) = 1/2
P(T) = 1/2

So:

P(H, T, H, H, H) = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32

The overall probability is 1/32.