Question

A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is the theoretical probability of rolling a 4?

A. 47/120; 1/30
B. 47/120; 1/6 ******
C. 4/47; 1/6
D. 1/6; 47/120

Am I Correct?

Answer 1

Yes you are.
(Your answer is B, right?)

Answer 2

A number cube is rolled 120 times. The number 4 comes up 47 times.

We have to determine the experimental probability of rolling a 4.

The formula to evaluate probability of an event is given by:

Probability =
`(Favourable outcomes)/(Total outcomes)`

So, Probability of rolling a 4 =
`( Total number of times when 4 appears)/(Total number of times number cube rolled)`

=
`(47)/(120)`

Now, we have to find the theoretical probability of rolling a 4.

Total number of outcomes of number cube = {1,2,3,4,5,6}

Probability of rolling a 4 =
`(1)/(6)`

So, Option B is the correct answer.