A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability. landing on 5

Question
Probability
asked 2020-10-21
A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
landing on 5

Answers (1)

2020-10-22
The experimental probability is given by: A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
P(A) = number of times event A occurs/number of observations A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
Since the number cube landed on 5 four times out of 20, its experimental probability is: A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
P=\(\displaystyle\frac{{4}}{{20}}=\frac{{1}}{{5}}\) A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
The theoretical probability of landing on 5 by throwing a number cube is 1/6 (as it is 1 of the 6 possible outcomes.) Hence, we can see that the experimental probability is greater than the theoretical probability in this case.
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