SOLUTION: Four of the seven students are from Middle Georgia State College. What is the probability that all four of the interviewed students are from Middle Georgia State College? Expre

Question 1147945: Four of the seven students are from Middle Georgia State College. What is the probability that all four of the interviewed students are from Middle Georgia State College?
Express your answer as a reduced fraction or decimal rounded to at least four decimal places.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

Two clear paths to the solution (and there are undoubtedly others....)

I will let you do the calculations in both cases....

(1) The number of possible outcomes is the number of ways of choosing 4 of the 7 students; the good outcomes are the ones in which 4 of the 4 MGSC students are chosen and 0 of the 3 other students are chosen:

(2) Multiply the probabilities that each successive choice is one of the MGSC students:

If you want to do well with probability, you want to understand both approaches to this relatively simple problem. As the problems get more complicated, one or the other of the approaches might be much more applicable for a particular problem.
Answer by ikleyn(52921) (Show Source): You can put this solution on YOUR website!
.
Four of the seven students are from Middle Georgia State College. What is the probability that all four
of the interviewed students are from Middle Georgia State College?
Express your answer as a reduced fraction or decimal rounded to at least four decimal places.
~~~~~~~~~~~~~~~~~~~

As this problem is worded, printed, written, posted and presented,

its first sentence is NOT RELEVANT to the second sentence, and vice versa,

the second sentence is NOT RELEVANT to the first one.

Penalty to the author (!)

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