SOLUTION: 40.) A newspaper advertises 5 different movies, 3 plays, and 2 baseball games for the weekend. If a couple selects 3 activities, find the probability that they attend 2 plays and

Algebra ->  Probability-and-statistics -> SOLUTION: 40.) A newspaper advertises 5 different movies, 3 plays, and 2 baseball games for the weekend. If a couple selects 3 activities, find the probability that they attend 2 plays and       Log On


   



Question 186008This question is from textbook Elementary Statistics
: 40.) A newspaper advertises 5 different movies, 3 plays, and 2 baseball games for the weekend. If a couple selects 3 activities, find the probability that they attend 2 plays and 1 movie. This question is from textbook Elementary Statistics

Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A newspaper advertises 5 different movies, 3 plays, and 2 baseball games for the weekend. If a couple selects 3 activities, find the probability that they attend 2 plays and 1 movie.
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# of ways to pick 2 plays: 3C2 = 3 ways
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# of ways to pick 1 movie: 5C1 = 5 ways
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total number of ways to pick 2plays and 1 movie = 3*15 = 45 ways
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# of ways to select 3 activiies without restriction: 10C3 = (10*9*8)/(1*2*3)
= 120
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Therefore the prob (3 plays and 1 movie) = 45/120 = 3/8
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Cheers,
Stan H.

Answer by Mathtut(3670) About Me  (Show Source):