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 outcomeOutcome: 1 2 3 4Relative Frequency : 0.23 0.24 0.26 0.27Which 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.
Accepted Solution
A:
Answer:A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.
Step-by-step explanation:The relative frequencies given are at most 0.02 apart. This means they are reasonably close.The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.Since the relative frequencies are reasonably close, the number cube is likely to be fair.