Question

Suppose you flip 3 quarters, one at a time. What is the probability that you will

get the combination below?

Heads

Tails

Heads

Answer 1

The probability of the combination {H, T and H} is 0.125.

Explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

`P(\text{H},\text{T and H}) = P(\text{H})* P(\text{T})* P(\text{H})`

`=0.50* 0.50* 0.50\\=0.125`

Thus, the probability of the combination {H, T and H} is 0.125.