A team of 4 is chosen at random from the 9 students of a club, and then one of the four chosen students is picked at random to be the captain. What is the probability that Rohan, one of the nine, ends up as captain?

Rohan must clear two stages: he has to be in the team, which happens with probability 4/9, and then be the one picked from the four, which happens with probability 1/4. Multiplying gives (4/9)(1/4) = 1/9. The answer also follows without any arithmetic — the nine students are treated alike throughout, so each is equally likely to finish as captain, and 1/9 is forced. The option 4/9 stops at the first stage, 1/4 assumes he is already on the team, and 1/36 comes from multiplying 1/9 by 1/4, applying the second stage twice.