instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: x , y , and z are all unique numbers . if x is chosen randomly from the set { 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ? 
Options: a ) 1 / 5 , b ) 3 / 20 , c ) 1 / 8 , d ) 3 / 10 , e ) 1 / 10
answer:
c


question:
Problem: find the probability that a leap year chosen at random will have 53 sundays 
Options: a ) 2 / 7 , b ) 2 / 6 , c ) 2 / 5 , d ) 2 / 3 , e ) 2 / 4
answer:
a


question:
Problem: three 7 faced dice are thrown together . the probability that all the three show the same number on them is ? 
Options: a ) 1 / 38 , b ) 1 / 49 , c ) 1 / 39 , d ) 1 / 42 , e ) 1 / 29
answer:

b