Question

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?

Answer 1

15/16

Step-by-step 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 = HHHHH, THHHH, THHHH, TTHHH, THHHH, TTHHH, TTHHH, TTTHH, THHHH, TTHHH, TTHHH, TTTHH, TTHHH, TTTHH, TTTHH, TTTTH, THHHH, TTHHH, TTHHH, TTTHH, TTHHH, TTTHH, TTTHH, TTTTH, TTHHH, TTTHH, TTTHH, TTTTH, TTTHH, TTTTH, TTTTH, TTTTT

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