Question

A die is rolled twice. Find the probability that 5 will come up both the times.

• A. $\frac{1}{36}$
• B. $\frac{18}{36}$
• C. $\frac{6}{36}$
• D. $\frac{4}{36}$

Answer 1

The correct option is A $\frac{1}{36}$

Number of all possible outcomes = (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5) and (6,6).

The number of all possible outcomes = 36.

There is only one case (5,5) when 5 comes up both the times.

$\text{Probability that 5 will come up both the times}=\frac{\text{Number of times 5 comes up both the times}}{\text{Number of all possible outcomes}}$

$\therefore$ P (5 will come up both the times) =$\frac{1}{36}$