A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. The experimental probability of rolling a 3 is %, which is approximately % more than its theoretical probability. (Round off your answers to the nearest integer.)

Question

Mathematics

Peter Yang

25 September, 01:28

A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. The experimental probability of rolling a 3 is %, which is approximately % more than its theoretical probability. (Round off your answers to the nearest integer.)

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Amya Sharp · Answer 1

Out of 80 rolls, the number three has come up 6+6+5+7=24 times. As a result, we can estimate the probability as 24/80=3/10, or 30%. The probability of rolling a three on a standard die is 16.7%, so the difference is 30%-16.7%=13.3%, or approximately 13%.