Suppose two friends Anjali and Prabhat trying to meet for a date to have lunch say between 2 pm to 3 pm. Suppose they follow the following rules for this meeting:

• Each of them will reach either on time or 10 minutes late or 20 minutes late or 30 minutes late or 40 minutes late or 50 minutes late or 1 hour late. All these arrival times are equally likely for both of them.

• Whoever of them reaches first will wait for the other to meet only for 10 minutes. If within 10 minutes the other does not reach, he/she leaves the place and they will not meet.

Find the probability of their meeting.

To find the probability of Anjali and Prabhat meeting for lunch between 2 pm to 3 pm, we can analyze the possible scenarios based on their arrival times and the rules they follow.

Let's denote the arrival times as follows:

0: On time
10: 10 minutes late
20: 20 minutes late
30: 30 minutes late
40: 40 minutes late
50: 50 minutes late
60: 1 hour late

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