Question

(06.02)A six-sided number cube labeled 1 through 6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one of the statements below that best describes the situation. The theoretical probability and relative frequency are the same. The theoretical probability is larger than the relative frequency. The theoretical probability is smaller than the relative frequency. There is not enough information to determine the relative frequency.

Answer 1

The theoretical probability is smaller than the relative frequency.

Explanation:

Answer 2

The theoretical probability is smaller than the relative frequency

Explanation:

6-sided cube rolled 200 times

Probability of an even number is 1/2= 0.5

200*1/2= 100- theoretical probability

Experimental frequency= 115

Relative frequency= 115/200= 0.575

0.575 > 0.5

The theoretical probability is smaller than the relative frequency