A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. The probability that they will not win a prize in a single trial is
A can select any number from the first 25 numbers with probability: \[ P(A) = \frac{25}{25} = 1. \] B must select a number different from A. There are 24 remaining numbers out of the total 25. Thus, the probability that B selects a number different from A is: \[ P(B) = \frac{24}{25}. \] The required probability is: \[ P(\text{Required}) = \frac{24}{25}. \]
Reinforce your conceptual grasp with related questions from NIMCET 2020:
If \( 15\\ 8 + 15\\ 7 = n\\ r \)
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