If xx is chosen at random from the set {1,2,3,4} and yy is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even? Choices:
A) 24  B) 29  C) 28  D) 23  E) 22
SS ={(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)}   Total element n(S)=12   xy will be even when even xx or yy or both will be even.   Events of x,y being even is E.   E ={(1,6),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7)}   n(E)=8   So, Probability,   P=n(E)n(S)   P=812   P=23   23
<result>D</result>
If xx is chosen at random from the set {1,2,3,4} and yy is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?