SOLUTION: A newspaper advertises five different movies, four plays, and two baseball games for the weekend. If a couple selects three activities, find the probability that they attend two p

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Question 267106: A newspaper advertises five different movies, four plays, and two baseball games for the weekend. If a couple selects three activities, find the probability that they attend two plays and one baseball game.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
A newspaper advertises five different movies, four plays, and two baseball games for the weekend. If a couple selects three activities, find the probability that they attend two plays and one baseball game.

Total no. of ways in which 3 activities can be selected is 11C%5B3%5D.

Total no. of ways in which 2 plays can be selected is 4C%5B2%5D and that in which a baseball game can be selected is 2C%5B1%5D.

Thus, the required probability of selecting two plays and one baseball game is
%284C%5B2%5D+%2A+2C%5B1%5D%29%2F%2811C%5B3%5D%29
= %286+%2A+2%29%2F165
= 7.27%