Given a fair six-faced dice where the faces are labelled 1', 2', 3', 4', 5', 6', what is the probability of getting a '3' on the first roll of the dice and a '5' on the second roll? A. 1/36 B. 1/6 C. 1/12 D. 1/18

GATE 2023 · General Aptitude · Probability · medium

Answer: P(first roll = 3 and second roll = 5) = 1/36

1. Probability of each individual event: P(first roll = 3) = 1/6; P(second roll = 5) = 1/6. The die is fair and each roll has 6 equally likely outcomes.
2. Apply multiplication rule for independent events: P(first=3 AND second=5) = 1/6 * 1/6 = 1/36