Question

Two dice are rolled simultaneously. Find the probability that the sum of outcomes is 3.

• A. \(\frac{1}{9}\)
• B. \(\frac{1}{18}\)
• C. \(\frac{1}{12}\)
• D. \(\frac{1}{6}\)

Answer 1

The Correct Option is B

The total number of outcomes when two dice are rolled is \( 6 \times 6 = 36 \), as each die has 6 faces. 
To find the favorable outcomes where the sum is 3, we look for all pairs of dice rolls that sum to 3: \[ (1,2), (2,1) \] Thus, there are 2 favorable outcomes. The probability is the ratio of favorable outcomes to total outcomes: \[ P(sum = 3) = \frac{2}{36} = \frac{1}{18} \] To find the probability of a specific sum in dice rolling, list all possible outcomes and count the favorable ones.