Question

A pair of dice is thrown. Then the probability that either of the dice shows 2 when their sum is 6 is:

• A. \( \frac{1}{2} \)
• B. \( \frac{1}{5} \)
• C. \( \frac{2}{5} \)
• D. \( \frac{3}{5} \)

Hint:

When calculating probabilities with multiple outcomes, first list all possible combinations and then count the favorable outcomes.

Answer 1

The Correct Option is C

To find the probability, we first determine the possible pairs of dice that add up to 6: \( (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) \). Among these, two outcomes involve one of the dice showing a 2: \( (2, 4) \) and \( (4, 2) \). Hence, the probability is \( \frac{2}{5} \).