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Sagot :
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
[tex]0.15+0.25+0.3=0.7[/tex]
Even numbers on the dice are 2, 4, 6. The sum of their probability is
[tex]0.05+0.05+0.2=0.3[/tex]
Now, the expected number of times the score will be odd is
[tex]\text{Expected odd number}=300\times \text{Probability of getting an odd number}[/tex]
[tex]\text{Expected odd number}=300\times 0.7[/tex]
[tex]\text{Expected odd number}=210[/tex]
Therefore, the expected number of times the score will be odd is 210.
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