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})= (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})= (1)/(5)`