Given two sets A = {1,1,2,2,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number Choose the correct answer
A) 1/5
B) 1/6
C) 1/2
D) 1/3
E) 1/4
One way to look at it:   The number from set A can be ANYTHING.   The number selected from set B will determine whether the sum is odd or even.   For example, if a 2 is selected from set A, we need a 0 from set B to get an even sum.   If a 7 is selected from set A, we need a 1 from set B to get an even sum.   And so on.   So, P(sum is even) = P(select ANY number from set AANDselect the number from set B that makes the sum even)   = P(select ANY number from set A)xP(select the number from set B that makes the sum even)   = 1x1/2   = 1/2   = 1/2
<result>C</result>
Given two sets A = {1,1,2,2,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number