Question

Let the sample space beUpper S equals StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 EndSetS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.Suppose the outcomes are equally likely. Compute the probability of the eventUpper E equals StartSet 1 comma 2 comma 4 comma 6 EndSetE={1, 2, 4, 6}.

Answer 1

The probability would be 0.40

Explanation:

Given,

The elements in set S are,

1, 2, 3, 4, 5, 6, 7, 9, 10,

Number of elements = 10,

Since, the outcomes are equally likely,

And, we know that,

`\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}`

So, the probability of getting 1, 2, 4, or 6 =
`(4)/(10)=0.40`

Hence, the probability of the event E = {1, 2, 4, 6} is 0.40.