If a child flips a coin five times in a row, what is the probability that she will receive at least one head and one tail?

15/16

Explanation:

Probability: this can be defined as the ratio of the number possible outcome to  number of total outcome of an event.

P(at-least one head and one tail) = n(possible outcome)/n(total outcome) Equation 1

Where P = probability. n = number H = head, T = tail

If the child flips the coin five times then,

sample of total outcome = , T, T, TTHHH, T, TTHHH, TTHHH, TTTHH, T, TTHHH, TTHHH, TTTHH, TTHHH, TTTHH, TTTHH, H, T, TTHHH, TTHHH, TTTHH, TTHHH, TTTHH, TTTHH, H, TTHHH, TTTHH, TTTHH, H, TTTHH, H, H,

n( possible outcome) = 30

n(total outcome) = 32

P(at-least one head and one tail) = 30/32

P(at-least one head and one tail) = 15/16.

Hence the probability that she will receive at-least one head  and one tail = 15/16

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