Question

A pair of dice is tossed twice. Find the probability that both rolls give a sum of 9. (Enter your probability as a fraction.)

Answer 1

Answer: $\dfrac{1}{9}$

Step-by-step explanation:

We know that the a dice has total 6 outcomes.

When a pair of dice is tossed then the total number of outcomes will be :-

$6\times6=36$

The outcomes of that shows sum to be 9:-

$(3,6),\ (6,3),\ (5,4),\ (4,5),$

Now, the  the probability that both rolls give a sum of 9 will be :_

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{4}{36}=\dfrac{1}{9}$\

Hence, the probability that both rolls give a sum of 9 = $\dfrac{1}{9}$