Assuming each question has an equal chance to contain the Daily Double, what is the probability of selecting the Daily Double on a single question from a set of 30 questions?

Assuming each question has an equal chance to contain the Daily Double, what is the probability of selecting the Daily Double on a single question from a set of 30 questions?

• A. 1/30
• B. 1/20
• C. 3/30
• D. 1/15

Answer: (A)

In this scenario, you’re dealing with a single target item among a fixed number of equally likely positions. There are 30 questions, and exactly one contains the Daily Double. A single random choice can be any one of the 30 positions with equal likelihood, so the chance it’s the Daily Double is 1 out of 30. That equals 1/30, about 3.33%. If there were more Daily Doubles or if the chances weren’t equal, the probability would be different, which is why this value fits the given setup.

In this scenario, you’re dealing with a single target item among a fixed number of equally likely positions. There are 30 questions, and exactly one contains the Daily Double. A single random choice can be any one of the 30 positions with equal likelihood, so the chance it’s the Daily Double is 1 out of 30. That equals 1/30, about 3.33%. If there were more Daily Doubles or if the chances weren’t equal, the probability would be different, which is why this value fits the given setup.