Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even n...

Question

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:

A. 1/36
B. 1/12
C. 1/2
D. 1/4

Accepted Answer

P(both dice show even) = 1/4. Each standard die has faces 1, 2, 3, 4, 5, 6. The even faces are 2, 4, 6 — exactly 3 out of 6. Since the two dice are rolled independently, we multiply probabilities. P(even on one die) = 3/6 = 1/2. P(even on both dice) = (1/2) * (1/2) = 1/4.

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is: A. 1/36 B. 1/12 C. 1/2 D. 1/4