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The situation can be modeled using the framework of discrete probability distributions where both individuals independently choose their arrival times from a finite set of equally likely outcomes. Let us define the possible arrival times in minutes after 1 pm as 0, 10, 20, 30, 40, 50, and 60. Thus, each of them has 7 possible choices, and since all these choices are equally likely, the probability of each arrival time is ( \frac{1}{7} ). Because the arrival times of Anjali and Prabhat are independent, the combined sample space consists of all ordered pairs of these times, giving a total of ( 7 \times 7 = 49 ) equally likely outcomes. To determine whether they meet, we must interpret the rule carefully: whoever arrives first waits for the other person for only 10 minutes. If the other person does not arrive within that 10-minute window, the first person leaves, and the meeting does not occur. Therefore, they will meet ______ ___ _____ ____ _____ ___ ___ ________ ____ ___ _______.
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