Question

if in scenario 1, n people are broken up into groups of 5, each person in...

if in scenario 1, n people are broken up into groups of 5, each person in the group draws a straw and one of them is short.

In scenario 2, n people are each offered 5 straws where one is short,

Is it fair to say that in both scenarios the probability of an individual drawing a short straw is n/5 ?

Math   Statistics-And-Probability   
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Answer #1

It is not fair, because probability of choosing such a person will always be less than 1 and n/5 May or May not be less than 1.

But yes in both case, probability of choosing such a person having short straw has probability 1/5.

There is 1 difference in both scenarios,, in 2nd scenario, there we can expect to have n/5 person having short straw, so out of n, required probability =1/5.

but in 1st scenario, there will definitely be a person out of n who is having a short straw. So out of n/5 group, there will exactly be n/5 person having short straw, so required probability =1/5

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