Question

A biased dice is thrown.

Answer 1

Given:

A biased dice is thrown 300 times.

Table of probabilities of each score.

To find:

The expected number of times the score will be odd.

Solution:

Odd numbers on the dice are 1, 3, 5. The sum of their probability is

$0.15+0.25+0.3=0.7$

Even numbers on the dice are 2, 4, 6. The sum of their probability is

$0.05+0.05+0.2=0.3$

Now, the expected number of times the score will be odd is

$\text{Expected odd number}=300\times \text{Probability of getting an odd number}$

$\text{Expected odd number}=300\times 0.7$

$\text{Expected odd number}=210$

Therefore, the expected number of times the score will be odd is 210.