Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?  Choose the most appropriate option: A) 15/56 B) 3/8 C) 15/28 D) 8/11 E) 3/4
Total number of combinations=11C3=165................(1)   Total number of combinations including 2 and two other numbers=10C2=45......................(2)   Therefore the difference ie. (1)-(2) is the set of 3 primes without 2=(165-45)= 
<gadget id="calculator">(165-45)</gadget>
<output>120</output>
120   So, probability=120/165=8/11   8/11
<result>D</result>
Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?