SOLUTION: Persons A and B .Person A picks a random no from 1 to 1000.Then person B picks a random no from 1 to 1000.What is the probability of B getting a no greater than A ?

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Question 481212: Persons A and B .Person A picks a random no from 1 to 1000.Then person B picks a random no from 1 to 1000.What is the probability of B getting a no greater than A ?
Answer by richard1234(7193) About Me  (Show Source):
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The probability that A and B will pick the same number is 1/1000.

Note that P(B > A) is the same as P(A > B), by symmetry. Hence, the probability that A and B will obtain unequal numbers is 999/1000, and we divide by two since each case has an equal probability of happening. So the probability of B getting a greater number than A is 999/2000.