Question

A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich statement about rolling a 3 is correct

Answer 1

The Theoretical probability is 1/6.

The experimental probability is 1/5

Explanation:

Given

Rolls: 100

Outcome of 3 : 20

Required

Which of the options is true (See attachment for options)

From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.

The experimental probability (E) is calculated as thus:

`E = (Outcomes)/(Total\ Rolls)`

`E = (20)/(100)`

`E = (1)/(5)`

The theoretical probability (T) is calculated as thus:

A cube has 6 faces, one of which is the face 3.

So, T is:

`T = (n(face\ 3))/(n(Total))`

`T = (1)/(6)`

Hence, C is true