Percent Probability |
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Solution (Rounded to the Nearest Whole Percent) (2 points) |
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Likelihood Scale Term (2 points) |
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We know that,
When a fair die with 6 sides is rolled once , the probability of getting a number from 0 to 6 is 1/6.
Therefore, when the given die is rolled once, the probability of getting a number 3 = 1/6
Thus , the probability of not getting a number 3 when the die is rolled once = 1- (1/6) = 5/6.
Now , when the same die is rolled 18 times , the probability of not getting a number '3' is given by ,
= (5/6)18 = 0.03756
= 0.04 (approx)
Thus , percent probability of not getting a number '3' = 0.04 × 100% = 4%
Further ,
the probability of getting a number '3' after 18 rolls = 1 - 0.03756
= 0.96244 = 0.96 (approx)
and the percent probability of getting a number '3" on 18 rolls = 0.96 × 100% = 96%
Likelihood scale term for the given event ( of not getting a number '3' on 18 rolls ) can be given by ,
It is unlikely to get a number 3 after a fair die with 6 sides is rolled 18 times.
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