Question

A six-sided number cube is rolled 600 times. The results are 246 even numbers and 354 odd numbers.

How does the relative frequency of rolling an odd number compare to the theoretical probability?
Select from the drop-down menus to correctly complete the statements.

The relative frequency of rolling an odd number is
Choose… A equal to B Greater than C Less than
the theoretical probability. The theoretical probability is
Choose… A 0.41 B 0.5 C 0.59
and the relative frequency is
Choose… A 41% B 50% C 59%

Pls Help ASAP
.

1. Relative frequency is defined as the number of “desired” results divided by the total number of possible results. Experimental probability is defined the same way. This means that the first choice is best, the experimental probability and relative frequency are the same.
The theoretical probability, on the other hand, would be 0.5, or 300/600, which is larger than the experimental probability.
Step-by-step explanation:

2. The complete statements looks like:
The relative frequency of rolling an odd number is B Greater than the theoretical probability.
The theoretical probability is B 0.5
and the relative frequency is C 59%.

### What do we mean by theoretical probability?

Theoretical probability is the ratio of favorable outcomes to the total number of outcomes.

### What do we mean by experimental probability?

Experimental probability or empirical probability or relative frequency is based on a particular experiment using the same formula.

### How do we solve the given question?

We are given a six-sided number cube.
The Theoretical Probability that the number shown is odd =
Number of odd outcomes {1, 3, 5}/ Total number of outcomes {1, 2, 3, 4, 5, 6}
= 3/6 = 0.5 or 50%
The relative frequency that the number shown is odd =
The number of times odd was shown up in the experiment/ Number of times the experiment was performed
= 354/600 = 0.59 or 59%.
Now we can complete the statements:
The relative frequency of rolling an odd number is B Greater than the theoretical probability.
The theoretical probability is B 0.5
and the relative frequency is C 59%.