SOLUTION: A COMMITTE OF 5 MEMBERS IS FORMED FROM A FROUP OF 10 REPUBLICANS AND 8 DEMOCRATS. A) FIND THE PROBABILITY OF SELECTING ALL DEMOCRATS B) FIND THE PROBABILITY OF SELECTING 2 DEM

Algebra ->  Probability-and-statistics -> SOLUTION: A COMMITTE OF 5 MEMBERS IS FORMED FROM A FROUP OF 10 REPUBLICANS AND 8 DEMOCRATS. A) FIND THE PROBABILITY OF SELECTING ALL DEMOCRATS B) FIND THE PROBABILITY OF SELECTING 2 DEM      Log On


   

Question 172511This question is from textbook ELEMENTARY STATISTICS
: A COMMITTE OF 5 MEMBERS IS FORMED FROM A FROUP OF 10 REPUBLICANS AND 8 DEMOCRATS.
A) FIND THE PROBABILITY OF SELECTING ALL DEMOCRATS
B) FIND THE PROBABILITY OF SELECTING 2 DEMOCRATS AND 3 REPUBLICANS This question is from textbook ELEMENTARY STATISTICS

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A COMMITTE OF 5 MEMBERS IS FORMED FROM A FROUP OF 10 REPUBLICANS AND 8 DEMOCRATS.
A) FIND THE PROBABILITY OF SELECTING ALL DEMOCRATS
# of ways to succeed = 8C5 = 56
# of possible outcomes = 18C5 = 8568
P(5 D's) = 56/8568 = 0.006536
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B) FIND THE PROBABILITY OF SELECTING 2 DEMOCRATS AND 3 REPUBLICANS
# of ways to succeed 8C2*10C3 = 28*120 = 3360
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# of possible outcomes = 8568
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P(2 D's and 3 R's) = 3360/8568 = 0.3922
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Cheers,
Stan H.