Monica and Eric are playing a game that involves rolling a six-sided die. They roll the die 50 times and record the outcomes in this table.

Question

Number Times Result Occurred
1, 3, 5 24
2, 4, 6 26

Which statement is true based on the results in the table?

Both outcomes are equally likely because their relative frequencies are close.
Both outcomes are equally likely because the relative frequency of rolling the numbers 1, 2, or 3 is different from that of rolling 4, 5, or 6.
The two outcomes are not equally likely because one set of outcomes includes odd numbers and the other includes even numbers.
The two outcomes are not equally likely because there is a lot of variation between their relative frequencies.


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Answer 1

In a sample size of 50, the difference between 24 and 26 is negligible and we can just consider them to have the same likelihood.

The answer is the first choice, that the outcomes (getting a 2, 4, or 6 or getting a 1, 3, or 5) are equally likely because the frequencies are close.

The second choice isn't true because there isn't a lot of variation. If there was, this would mean they aren't equally likely.

The third choice isn't true because it doesn't make a statement about why the odd/even identity of the sets should affect the likelihood. (Besides, we know they are equally likely.)

The fourth choice isn't true because there is not a lot of difference in the relative frequency.