Given two sets A = {1,1,6,6,7,7} 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 choice from the following options.
A) 1/4
B) 1/6
C) 1/2
D) 1/3
E) 1/5
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 6 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 = {1,1,6,6,7,7} 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