If two dice are rolled and their faces noted, find each of the following probabilities:

Question

a) the sum of the two dice is 8
b) both dice show even numbers
c) the sum of the two dice is 8 OR both dice show even numbers
d) the sum of the numbers is 7, given that at least one die shows a 5
e) the sum of the numbers is 7, given that first die shows a 5
f) the sum is greater than 8 if the first die is a 6
Thanks

Answer 1

I will start you out.

a) There are 36 possibilities. 6,2; 2,6; 3,5; 5,3 are the only combinations that = 8.

b) P(even) = 3/6 = 1/2
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

c) Either-or probabilities are found by adding the individual probabilities.