A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4

Respuesta :

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]

[tex]\text{Required probability}=\dfrac{10}{120}[/tex]

[tex]\text{Required probability}=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].