2 unbiased die are rolled simultaneously. The numbers that appear on the two dice are different. Find the probability that the sum is 6.
Explanation:
When two die are rolled total possible outcomes = 6 × 6 = 36.
Out of these 36 outcomes, 6 outcomes result in same number on both dice.
Since the number on two dice are different, possible outcomes here = 36 – 6 = 30.
∴ Desired outcomes for sum to be 6 = {(1, 5) or (5, 1) or (2, 4) or (4, 2)} i.e., 4 outcomes.
∴ Required probability = 4/30 = 2/15
Hence, option (c).
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