Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4. Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome. Outcome 1 2 3 4 Relative Frequency 0.23 0.24 0.26 0.27 Which statements about Dina's experiment are true?

Select each correct answer.

a The relative frequencies in the table are reasonably close.

b The theoretical probability of rolling an even number is 0.51.

c The relative frequency of rolling an even number is 0.51.

d The number cube is not likely to be fair.

Question

Evan Fox

Mathematics

5 February, 12:36

Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4. Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome. Outcome 1 2 3 4 Relative Frequency 0.23 0.24 0.26 0.27 Which statements about Dina's experiment are true?

Select each correct answer.

a The relative frequencies in the table are reasonably close.

b The theoretical probability of rolling an even number is 0.51.

c The relative frequency of rolling an even number is 0.51.

d The number cube is not likely to be fair.

+5

Answers (1)

Know the Answer?

Micah · Answer 1

A and C

Step-by-step explanation:

The relative frequencies 0.23, 0.24, 0.26, and 0.27 are reasonably close. This also implies that the number cube is likely to be fair.

The theoretical probability of rolling an even number is not 0.51. In theory, the probability of rolling an even number is 0.5 since we have 2 faces with even numbers out of a total of 4 faces; 2/4 = 1/2 = 0.5

The relative frequency of rolling an even number is 0.51. We simply add 0.24 and 0.27 since these values represent the relative frequencies of rolling 2 and 4 which are the even numbers.