In this task, you need to provide the correct option for a given problem on probability from the provided options.
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Question: Problem: 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 { 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: a


Question: Problem: what is the probability that a two digit number selected at random will be a multiple of ' 3 ' and not a multiple of ' 5 ' ? 
Options: a ) 2 / 15 , b ) 4 / 15 , c ) 1 / 15 , d ) 4 / 90 , e ) 5 / 60

Answer: b


Question: Problem: in how many ways 3 boys and 3 girls can be seated in a row so that they are alternate . 
Options: a ) 144 , b ) 288 , c ) 36 , d ) 256 , e ) none

Answer:
c