Determine whether the scenario involves independent or dependent events. Then find the probability as a reduced fraction.

Question

Determine whether the scenario involves independent or dependent events. Then find the probability as a reduced fraction.

You flip a coin five times. The coin lands heads-up the first three times and then lands tail-up the remaining two times.

Answer 1

Independent ( the probability of a head or a tail does not depend on whether a head or tail has been thrown previously)

p (H) = 1/2

p (T) = 1/2

p (HHHTT) = p(H) p(H) p(H) p(T) p(T) because of independence = (1/2)⁵ = 1/32

Answer 2

This experiment consists of 5 independent Bernoulli trials for which the probability is 1/32.