Question

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll will give a result that is not a prime number?

Answer 1

It’s 0.5 probability chance because it is still the same cube being used for the probability of it landing on a prime number

Answer 2

The outcomes of rolling fair six sided die is
`\{1,2,3,4,5,6\}`. The prime numbers in the above outcomes are
`\{2,3,5\}`. The probability of not rolling a prime number is
`p=(3)/(6)= 0.5`.

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

`P(X=x)=C(100,x)p^x(1-p)^(100-x),x=0,1,2,3,...,100`. Since
`p=0.5,1-p=0.5`

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