A and B play a game where each is asked to select a number from $1$ to $25$ . If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

1 / 25

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24 / 25

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2 / 25

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1 / 625

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Solution

The correct option is B $24 / 25$
They win a prize if the number chosen by A matches with that of B.
Thus, probability of winning a prize = $\frac{1}{25} * 1 = \frac{1}{25}$

Thus, probability of not winning = $1 - \frac{1}{25} = \frac{24}{25}$

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A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

The correct option is B 24/25They win a prize if the number chosen by A matches with that of B.Thus, probability of winning a prize = 125∗1=125Thus, probability of not winning = 1−125=2425

A and B play a game where each is asked to select a number from $1$ to $25$ . If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

The correct option is B $24 / 25$
They win a prize if the number chosen by A matches with that of B.
Thus, probability of winning a prize = $\frac{1}{25} * 1 = \frac{1}{25}$

Thus, probability of not winning = $1 - \frac{1}{25} = \frac{24}{25}$