Two unbiased dice is thrown what is the probability that their sum is ...
Probability of getting a sum that is a multiple of 5 or 6 when two dice are thrown
- When two unbiased dice are thrown, the total number of outcomes is 6 x 6 = 36.
- To find the probability of getting a sum that is a multiple of 5 or 6, we need to first determine the possible outcomes that satisfy this condition.
Possible outcomes that result in a sum that is a multiple of 5 or 6:
- The sums that are multiples of 5 are 5, 10. The pairs that result in these sums are (1, 4), (2, 3), (3, 2), (4, 1), (5, 5).
- The sums that are multiples of 6 are 6, 12. The pairs that result in these sums are (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6).
Total number of favorable outcomes:
- Adding up the favorable outcomes, we get a total of 5 + 6 = 11.
Calculating the probability:
- The probability of getting a sum that is a multiple of 5 or 6 is given by the number of favorable outcomes divided by the total number of outcomes.
- Therefore, the probability = Number of favorable outcomes / Total number of outcomes = 11 / 36 ≈ 0.3056 or 30.56%.
Therefore, the probability of getting a sum that is a multiple of 5 or 6 when two dice are thrown is approximately 30.56%.
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