Question

Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is

A. 14/29

B. 16/29

C. 15/29

D. 10/29

Answer 1

Correct option is C. 15/26

There are 15 odd numbers and 15 even numbers. Sum is odd if you choose 1 odd and 1 even. So, the probability of sum being odd is \(\cfrac{15C_1\times15C_1}{30C_2}\)