Arjit and Karan play a game where each one is asked to select a number from 1 to 5. 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:

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None of these

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Solution

The correct option is B

Total number of ways in which both of them can select a number each = 5 $\times$ 5 = 25

Probability that they win the prize: $\frac{1}{5}$

Probability that they do not win a prize: $\frac{4}{5}$

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Arjit and Karan play a game where each one is asked to select a number from 1 to 5. 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 Total number of ways in which both of them can select a number each = 5×5 = 25 Probability that they win the prize: 15 Probability that they do not win a prize: 45

The correct option is B

Total number of ways in which both of them can select a number each = 5 $\times$ 5 = 25

Probability that they win the prize: $\frac{1}{5}$

Probability that they do not win a prize: $\frac{4}{5}$