The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 or 5 as its largest number?	Choose the correct choice from the following answers:  A) 1/2  B) 2/3  C) 3/4  D) 5/8  E) 11/16
The set S has 2^5 = 32 subsets.   The number 5 is in half of these subsets.   Thus 5 is the largest number in 16 subsets of S.   Of the remaining 16 subsets, 4 is an element in 8 of them.   Thus 4 is the largest number in 8 subsets of S.   The probability that 4 or 5 is the largest number is 24/32 = 3/4.   The answer is 3/4.
<result>C</result>
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 or 5 as its largest number?