SOLUTION: A manager interview in random order five candidates for a promotion. What is the probability that the most experienced candidate will be interviewed first followed by the second m

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Question 1197329: A manager interview in random order five candidates for a promotion. What is the probability that the most
experienced candidate will be interviewed first followed by the second most experienced candidate?
Found 3 solutions by Boreal, ewatrrr, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(1/5)(1/4), since there are 5 ways to choose the first, and four the second, once the first is chosen.
The answer is 1/20 or 5%.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
5 Candidates: A, B, C, D, E in order of their experience.
 P(picking A And then B)  = 1/ 5P2 = 1/20
                         
Wish You the Best in your Studies.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The solution by tutor @Boreal is correct: it gives the correct answer 

    P = %281%2F5%29%2A%281%2F4%29 = 1%2F20 = 0.05 = 5%.



The "solution" by @ewatrrr is incorrect: it gives an absurdist value for the probability

    P = (5C1*4C1)/5C2 = %285%2A4%29%2F10 = 20%2F10 = 2.

So,  ignore the post by @ewatrrr,  for the safety of your mind.