A dice was rolled and a coin was flipped together 10 times in order to get a '3' on the dice and a 'tail' on the coin at the same time, but the result didn't come out. How many more times should we expect to do the procedure in order to get the desired result?

The probability of getting a 3 on a die and a tail on a coin is the product of their individual probabilities, which is (1/6) multiplied by (1/2), resulting in 1/12. The expected number of trials needed to achieve a single success is the reciprocal of the probability, so the expected number of trials is 12. Because the procedure has already failed 10 times, we calculate the total expected attempts as 12, meaning 12 more attempts are needed from the current sequence to reach the expected success threshold.

• Thanks
• Wrong explanation