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 solve this problem, we need to compute the probability of Anjali and Prabhat meeting, given the possible arrival times and the condition that whoever arrives first waits for only 10 minutes.

### Step 1: Understand the random variables

The possible arrival times for both Anjali and Prabhat are:
- On time (0 minutes late),
- 10 minutes late,
- 20 minutes late,
- 30 minutes late,
- 40 minutes late,
- 50 minutes late,
- 1 hour late (60 minutes late).

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