Question

Two dice are rolled, and the sum of the face values is six. What is the probability that at least one of the dice came up a three

Answer 1

Answer : $P(\text{ atleast one of the dice come up 3})= \frac{1}{5}$

Explanation :

We know that ,

Sample space of " sum of faces is 6"= $\{(3,3),(4,2),(2,4),(5,1),(1,5)\}$

Atleast one of the dice come up 3 = $\{(3,3)\}$

So,

$Probability = \frac{\text{No. of favourable outcomes}}{\text{Total no. of outcomes}}$

$P(\text{ atleast one of the dice come up 3})= \frac{1}{5}$