Two dice are thrown simultaneously, the probability that the numbers on them are different is
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Two dice are thrown simultaneously, the probability that the numbers on them are different is
5/6
1/4
1/2
9/13
Total outcomes when throwing two dice is 6 * 6 = 36. Outcomes where numbers are the same are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), which is 6 outcomes. Probability of same numbers is 6 / 36 = 1 / 6. Probability of different numbers is 1 - 1 / 6 = 5 / 6.
The total number of outcomes when two dice are thrown is 6 * 6 = 36. The number of outcomes where the numbers are the same is 6, namely (1,1), (2,2), up to (6,6). The number of outcomes with different numbers is 36 minus 6, which equals 30. The required probability is 30/36, which simplifies to 5/6.