# 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

## Solution :

The total number of ways in which numbers can be choosed = 25*25 = 625

The number of ways in which either players can choose same numbers = 25

$$\therefore$$ Probability that they win a prize = $$25\over 625$$ = $$1\over 25$$

Thus, the probability that they will not win a prize in a single trial = 1 – $$1\over 25$$ = $$24\over 25$$

### Similar Questions

The probability of India winning a test match against the west indies is 1/2 assuming independence from match to match. The probability that in a match series India’s second win occurs at the third test is

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is

If A and B are two mutually exclusive events, then

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is $$1\over 2$$, $$1\over 3$$ and $$1\over 4$$. Probability that the problem is solved is