Question

A biased dice was rolled and the scores recorded in the table below

Answer 1

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

$\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}$

$\text{Required probability}=\dfrac{10}{120}$

$\text{Required probability}=\dfrac{1}{12}$

Therefore, the required probability is $\dfrac{1}{12}$.