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?

Answer 1

OPTION B

B.
`(47)/(120) ; (1)/(6)`

Explanation:

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

First, we have to determine the experimental probability of rolling a 4.

The formula to evaluate probability of an event is given; Probability =
`favorable outcomes/totaloutcomes`

Probability of rolling a 4; the total number of times when 4 appears/the total number of times number cube rolled=
`(47)/(120)`

We have to find the theoretical probability of rolling a 4.

Total number of outcomes number cube; 1,2,3,4,5,6

Probability of rolling a 4;
`(1)/(4)`

OPTION B IS CORRECT

Answer 2

Experimental: 47/120
Theoretical is 50/120