Question

Two dice, one red and one white, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers . appearing on the top of the dice is $\left(i\right)8$ $\left(ii\right)13$ $\left(iii\right)$ less than or equal to $12$?

Answer 1

Total number of outcomes $=36$

Probability that sum of two numbers is $8$

$\frac{\text{Number of outcomes where sum is 8}}{\text{Total number of grey outcomes}}=\frac{5}{36}$

Refer image .1

Total number of outcomes $=36$

Probability that sum of two number is $13$

$=\frac{\text{Number that outcomes where sum is 13}}{\text{Total number of outcomes}}$

$\frac{0}{36}=0$

Total number of outcomes $=36$

Probability that sum of two number is less than or equal to $12$

$=\frac{\text{Number that outcomes where sum is less than or equal to 12}}{\text{Total number of outcomes}}$

$\frac{36}{36}=1$

Refer image 3