Question

Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

What was the experimental probability of rolling a 4?

Number Rolled - Frequency - Experimental Probability
1                          15                    0.15
2                          17                    0.17
3                          17                    0.17
4                          14                      ?
5                          21                    0.21
6                          16                    0.16

Answer 1

The experimental probability of rolling a 4 is 0.14.

Explanation:

Given : Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

Number Rolled - Frequency - Experimental Probability

1 15 0.15

2 17 0.17

3 17 0.17

4 14 ?

5 21 0.21

6 16 0.16

To find : What was the experimental probability of rolling a 4?

Solution :

Formula to find the experimental probability is

`\text{Experimental Probability}=\frac{\text{Frequency of the number}}{\text{Total number of times cube roll}}`

We also notice that this pattern follows by other numbers also.

So, The experimental probability of rolling a 4 is

`\text{Experimental Probability}=(14)/(100)`

`\text{Experimental Probability}=0.14`

Therefore, The experimental probability of rolling a 4 is 0.14.

Answer 2

Answer: The experimental probability of rolling a 4 is 0.14

Experimental probability of rolling a 4 = (frequency of rolling a 4) / (Total number of rolling the number cube)

Frequency of rolling a 4 = 14
Total number of rolling the number cube = 100

Replacing in the formula above:
Experimental probability of rolling a 4 = 14 / 100
Experimental probability of rolling a 4 = 0.14