Question

Find the probability of the indicated event if p(e) and p(f) are given?

Answer 1

To find the probability of the event where the first occurrence of event F (rolling a four or five) is on the second trial, we need to find the probability of not rolling a four or five on the first trial and then rolling a four or five on the second trial.

Step-by-step explanation:

To find the probability of the event where the first occurrence of event F (rolling a four or five) is on the second trial, we need to find the probability of not rolling a four or five on the first trial and then rolling a four or five on the second trial. Let's assume p(e) represents the probability of not rolling a four or five on the first trial and p(f) represents the probability of rolling a four or five on the second trial. The probability of not rolling a four or five on the first trial is 1 - p(f), as rolling a four or five is the complement of not rolling a four or five.

Therefore, the probability of the event is as follows:

P(event) = p(e) × p(f) = (1 - p(f)) × p(f)