SOA Exam P Question 151 | Combinational Probability

From 27 pieces of luggage, an airline luggage handler damages a random sample of four.
The probability that exactly one of the damaged pieces of luggage is insured is twice the
probability that none of the damaged pieces are insured.
Calculate the probability that exactly two of the four damaged pieces are insured.
(A) 0.06
(B) 0.13
(C) 0.27
(D) 0.30
(E) 0.31

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[oshainross]

I was using ACTEX study manual and stumbled on this question. I didn't understand a part of the solution, but this cleared it up. Thanks 🙂

[mmilrl]

I'm so lost on where the 2 went on the right side of the equation... I got r=16 because I did 2/4! = 1/12 rather than 1/24.

[bargs]

god bless you. only reason im gonna pass in a week

[diegoalvarez]

when you said "cool cool cool" @3:46 it reminded me of jake from brooklyn nine-nine lol