Question

An experiment consists of rolling 2 dice and observing the number that lands on the uppermost surface. Find the probability that the sum of the numbers is 10, given that one of the numbers is a 4.

Answer 1

Answer:
`(1)/(6)` .

Explanation:

Given : An experiment consists of rolling 2 dice and observing the number that lands on the uppermost surface.

If one of number of die is 4 , then the other number can be = 1 , 2,3, 4, 5, 6,

i.e. Total choices for other dice= 6

To make sum 10 , we need 6 , so the favorable outcomes is (4,6) =1

i.e. if one of the numbers is a 4 , then the choices for other die is only one to make sum 10.

Now , the probability that the sum of the numbers is 10, given that one of the numbers is a 4.=
`\frac{\text{Favorable}}{\text{Total}}=(1)/(6)`

Therefore , the probability that the sum of the numbers is 10, given that one of the numbers is a 4 is
`(1)/(6)` .