Set S consists of all prime numbers less than 10. If two numbers are chosen from et S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?  Select the correct option:
A) 1/3
B) 2/3
C) 1/2
D) 7/10
E) 4/5
Prime integers below 10: 2, 3, 5, 7   Total outcomes: Number of ways you can choose 2 from 4 = 4C2=6pairs4C2=6pairs   No. of ways for Event: Pairs that will have products greater than product of pairs not selected i.e. (3,5), (3,7), (5,7) =3pairs=3pairs   Probability = number of ways/Total outcomes =3/6=1/2=3/6=1/2   Hence choice(1/2) is correct.
<result>C</result>
Set S consists of all prime numbers less than 10. If two numbers are chosen from et S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?