Question

When two dice are thrown, the probability of getting a number always greater than $4$ on the second dice is ____________.

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $\frac{1}{36}$
• D. $\frac{5}{36}$

Answer 1

The correct option is B $\frac{1}{3}$

Possible outcomes on rolling two dices are $36$

Out of the possible outcomes, chances of getting a number greater than $4$ on second dice are $2\times 6$ because on second dice, number should be either $5$ or $6$ but first dice can have any of the $6$ numbers.

Probability $=$ Favourable Outcomes $÷$ Total Outcomes $=\frac{12}{36}=\frac{1}{3}$