SOLUTION: A& B are two players. They need to select one number from 1 to 25. If both the players select the same numbers they will win the prize. What is the probability of not winning in

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Question 376002: A& B are two players. They need to select one number from 1 to 25. If both the players select the
same numbers they will win the prize. What is the probability of not winning in a single trial?

Found 2 solutions by edjones, robertb:
Answer by edjones(8007) About Me  (Show Source):
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The number of ordered pairs (x,y) stemming from A and B choosing one number each is 25+%2A+25+=+25%5E2. Of these, there are exactly 25 ordered pairs where the choice of A is the same as the choice of B. So the probability of winning in a single trial is 25%2F25%5E2+=+1%2F25. Thus the probability of not winning in a single trial is 1+-+1%2F25+=+24%2F25.