Question

If x is to be chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7},what is the probability that xy will be even?

Answer 1

2/3

Explanation:

To get the answer here, firstly we would need to know the total number of expected answer. This is equal to 12. This can be gotten by using a table whereby one of the parameters are on the horizontal side with the other on the vertical.

Now the even numbered products are : 6, 10,12,14,18,20,24 and 28

The total number of this is 8

The probability is thus 8/12 = 2/3