Picking a team of 2 from 5 people Each person has a ranking

Picking a team of 2 from 5 people. Each person has a ranking 1-5. Sample space? Sample points?

Define events. A) you select the best & one of two worst.

B) You select at least one of the best.

Probability of A? Probability of B?

Sample space is persons with ranks {1st,2nd,3rd,4th,5th}

out of which 1st and 2nd are best

4th and 5th are worst

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Event A coressponds to 2 possibilities

i.e., (1st, 4th) or (1st,5th)

So P(A)=1/2

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Event B consists of 7 possibilities

i.e., (1st,2nd) (1st,3rd) (1st,4th) (1st,5th) (2nd,3rd) (2nd,4th) (2nd,5th)

P(B) = 1/7