Question

A die is tossed three times. What is probability that a 6 will show in the upward face at least once?​

Answer 1

1/216.

Step-by-step explanation:

The probability of a 6 appearing on any single roll of a fair die is 1/6. Since the rolls are independent, the probability of a 6 appearing on all three rolls is (1/6) x (1/6) x (1/6) = 1/216. Therefore, the probability that a 6 will not appear in any of the three rolls is 1 - 1/216 = 215/216. Finally, the probability that a 6 will appear at least once in the three rolls is 1 - 215/216 = 1/216. Thus, the probability of a 6 appearing in the upward face at least once is 1/216.