Answer: D

Set = {x+1, x+2, x+3, …., x+35}

A: The probability for selecting an even number less than median:

The median is (35-1)/2+1 = 18th which is x+18

Numbers before median are: x+1, x+2, …, x+17 there are 17 numbers before median, and as 17 is not even, we don’t know there are either 9 or 8 even numbers.

A would be either 9/35 or 8/35

B: The probability for selecting an odd number greater than median:

The median is (35-1)/2+1 = 18th which is x+18

Numbers after median are: x+19, x+19, x+20, …, x+35, there are 17 numbers after median, we don’t know there are either 9 or 8 even numbers.

B would be either 9/35 or 8/35

We don’t know the first number in the sequence is even or odd, if we knew we were sure what situation would happen.

Answer is D

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