Question

Question #22549

Answer 1

Please see the processed steps below;

Explanation:

Probability of `3` posts selected is `3/9 = 1/3`

Probability of none selected is `(9-3)/9 or (1 - 1/3)`

`(9-3)/9`

`6/9`

`2/3`

Hence;

Probability of none selected is `= 2/3`

Answer 2

`2/3`

Explanation:

`9` applicants , `3` posts
so probability of anyone selected at any post is `3/9=1/3`
so, probability that the same person is not selected can be easily identified
`P(s)+P(n)=1` where `P(s)` means selected and `P(n)` means not selected )
`1/3+P(n)=1`
`P(n)=1-1/3`
`P(n)=(3-1)/3`
`P(n)=2/3`
Cheers!
If the question is that none of them is selected , then we woupd require probability of selection of each which on an average would not be greater than `1/3`.
My interpretion of question is that we need to find the probability of anyone not being selected .

It might require use of linear inequalities if the question isn't what i interpret .

for more please see my hand written script below