A fair pair of dice is rolled and the sum of the points is noted. What is the probability that one of the dice results in a point of 4, given that the sum of the points is 6?

Step-by-step explanation:

Here, given that two fair dices are rolled.

The sum of both the numbers on the dice  = 6

Also, number on one of the dice  = 4

Let us write the given possibilities.

The outcomes when  ("one of the dice shows 4") are:    (2, 4) and (4, 2)

The outcomes when  ("given that the sum of the dice is 6") are:    

(1, 5) , (2, 4) , (3, 3), (4, 2) and (5, 1)

As we can see from the above information, that the total outcomes when the sum of digits is 6 is 5.

Also, the favorable outcomes  = 2

So, there are total 2 out of 5 events which are desirable to given condition.

So, the required probability  =

Hence, the needed probability is 0.4.

step-by-step explanation: