instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: if x is to be chosen at random from the set { 1 , 2 , 3 } and y is to be chosen at random from the set { 5 , 6 , 7 } , what is the probability that xy will be even ? 
Options: a ) 1 / 6 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6
answer:
e


question:
Problem: a question paper has 2 parts , a & b , each containing 10 questions . if a student has to choose 5 from part a & 10 from part b , in how many ways can he choose the questions ? 
Options: a ) 100 , b ) 120 , c ) 125 , d ) 350 , e ) 252
answer:
e


question:
Problem: a card is drawn from a pack of 52 cards . the probability of getting a queen of spade or an ace of club is : 
Options: a ) 1 / 13 , b ) 1 / 26 , c ) 2 / 13 , d ) 1 / 52 , e ) 1 / 48
answer:

b