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 within the specified time frame, we can break down the problem into cases based on when they arrive and calculate the probability for each case. We'll consider both Anjali and Prabhat's arrival times independently, and then find the overall probability of them meeting within 10 minutes. Since all arrival times are equally likely for both of them, we can treat their arrivals as independent events.

Let's analyze the possibilities:

1. Both Anjali and Prabhat arrive on time (neither is late):

   • Probability of Anjali arriving on time: 1/7 (since there are 7 equally likely arrival times)
   • Probability of Prabhat arriving __________ ________ ____ ____ _____ ___ ______ __________ ____.
     _________ _______ ___ ______ ________.
     _________ _________ __________ _____ ______ __________.
     ____ ____ _______ _____ ___ ____ _____ _______.
     ______ ____ __________ ___ _________ ________ __________ ____ _______ ______.
     _________ ________ ____ ______ ________ __________ __________ __________.
     ______ _______ ________ _________ ___ _______ ______.
     __________ _____ ____ ________ _____ __________ ______ ________ ___.
     __________ ________ _________ _________ _____ ________ ___ ______ ________.
     ____ _____ ________ _________ _____ ____ ____ ______ ____ _______.
     _________ _______ ____ ________ __________ __________ ____ _______ ________ _____ ________.
     ______ _________ _________ ________ ___ __________.
     _______ ___ _______ ______ ____ _____ ______ _____.
     ___ ____ ________ _______ _________ _________.
     _____ ________ _______ ______ ___ ________.
     ___ ______ ___ ________ _______ _____ ________ _____ _____ _________ ___.
     _________ _______ _____ __________ _____ __________ __________ ________ __________ _____.
     _____ _______ _____ _____ ______ _________ _______.
     ______ _______ ______ _______ ___ _________ _______ _____ ____ ________ ____ ______.
     _________ ______ ____ _____ _______.
     ______ _____ ______ ________ _____ _________ _____ _________ ________.
     _____ __________ ____ ____ ______ ______ __________ __________ _____.
     ______ ________ ____ _______ ___ ______ _________ ___.
     _________ ________ ________ ______ _____ _______ _________ ___ ___.
     _________ ____ _______ _______ _________ _________ _______.
     ___ _______ ____ ______ _________ ____ ____ ____ ____.
     _________ _____ _____ __________ ______ _______ ________ _______ ___.
     ______ __________ _____ ______ _____.
     ____ _____ ___ _____ _______ ________ ___ ___ _______ __________ ______.
     _____ __________ ____ ______ _________ _____.
     ____ _______ ___ _____ __________ ____ ____ __________ _________ ___ ________.
     ________ ____ _____ ___ ____ _______ _____ ______ ____.
     ____ _____ ____ _____ _________ ________ ____.
     ______ ___ __________ ______ ___.
     ______ ________ ________ _________ ______ ____ ___ _______ ___ _______ _____ _________.
     ____ _________ _________ _______ ________ ___ _____ _________ ____.
     _____ _______ _____ _______ _______ _______ ____ _________ __________ __________ __________ ________.
     _______ ___ ______ ______ ____ ______.
     __________ _______ _______ _________ ___ ________ _____ _________ _______ ______.
     _______ ________ ________ ____ ___ _______ _______.
     ________ ____ _______ ____ _______ __________ __________.
     ___ _____ _____ _________ ____ ______ __________.
     _________ _____ ______ ____ ________ ______ _______ __________ __________.
     ____ ________ _______ ____ ___ _____ _________ ___ ______ _____ __________ _________.
     _______ ____ ________ __________ ___ ______ ____ ____ _____ ____ ____ ___.
     _________ _______ ________ __________ _________ __________ _____ ____ ________ ____ __________.
     ______ ___ ____ _________ ________ ______ ______ _______.
     _____ ______ _____ ____ ________.
     _________ ___ ______ ____ _____.
     _____ ____ _______ _______ ________ __________ __________ ___ __________ _____ __________.
     ____ _______ ___ __________ _____ _____.
     ___ ___ __________ ______ _______ _____ ______ _______.
     ______ _____ ___ _______ ______ ________ ___ ____ __________ _______.
     Get Full Answer on WhatsApp