SOLUTION: Out of 20students in a statistics class 3students are failing in the course if4 students from the class are picked up at random what is the probability that one of the failing stud

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Question 1184001: Out of 20students in a statistics class 3students are failing in the course if4 students from the class are picked up at random what is the probability that one of the failing student will be among them
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
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20C4 choices (denominator)
3C1*17C3 (numerator)
0.4211
-
another way
probability first is the 1 is (3/20)(17/19)(16/18)(15/17)=0.10526
There are 4 ways that can occur, and 4*0.10526=0.4211.

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Out of 20 students in a statistics class 3 students are failing in the course. If 4 students from the class
are picked up at random what is the probability that one of the failing student will be among them
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    P = %28C%5B3%5D%5E1%2AC%5B20-3%5D%5E3%29%2FC%5B20%5D%5E4 = %28C%5B3%5D%5E1%2AC%5B17%5D%5E3%29%2FC%5B20%5D%5E4 = %283%2A680%29%2F4845%29 = 8%2F19 = 0.4211.     ANSWER


The denominator is the number of different quadruples to choose from 20 students - the space of events.


The numerator is the number of those quadruples, that consist of one of 3 failed students and three of remaining 17 students.

Solved.