Question

1. If two dice, one red and one green, are rolled, find the probability that the red die shows a 3 and the green shows a six.

2. If two dice are rolled, find the probability that the sum of the faces of the dice is 7.

Answer 1

1)

Here we are rolling two dice. Hence we get sample size n= 36

We have asked to find probability that the red die shows a 3 and the green shows a six.

In the sample there is only one pair of (3,6). That is red die showing 3 and green shows a 6.

Hence P(red die shows a 3 and the green shows a six) = 1 / 36

2)

Two dice are rolled. Then the sample size n = 36

Let A be an event that the sum of the faces of the dice is 7. Then-

A={ (1,6) , (2,5) , (3,4) , (4,3) , (5,2) , (6,1) }

Hence P (the sum of the faces of the dice is 7) = 6 /36 = 1/6

P (the sum of the faces of the dice is 7) =1 / 6

Hope this will help you. Thank you :)