Question

two friends visit a restaurant randomly during 5 pm to 6 pm . among the two, whoever comes first waits for 15 min and then leaves. the probability that they meet is :

Answer 1

To find the probability that the two friends meet, we need to consider the possible scenarios. The probability is 0.25 or 25%.

Step-by-step explanation:

To find the probability that the two friends meet, we need to consider the possible scenarios. Let's assume that Friend A arrives first and Friend B arrives second.

If Friend A arrives between 5:00 pm and 5:15 pm, Friend B has a 15-minute window to arrive (5:00 pm to 5:15 pm) and meet Friend A.

If Friend A arrives between 5:15 pm and 5:45 pm, Friend B has a 15-minute window to arrive (Friend A's arrival time to 5:15 pm) and meet Friend A.

If Friend A arrives between 5:45 pm and 6:00 pm, there is no possibility for them to meet as Friend B cannot arrive within the remaining 15 minutes.

Therefore, the probability that they meet is the sum of the probabilities of each scenario:

Probability = (15 minutes / 60 minutes) + (30 minutes / 60 minutes) = 0.25 or 25%