REDESCOBRINDO ART Your Art Stop

Drawing Of The Three Cd

probability and statistics?

Students are sitting in rows in a theater. In the fourth row from the front, there are 25 students consisting of 6 grade 10’s, 8 grade 11’s, and 11 grade 12’s. A draw for 3 CDs was conducted before the show started, and all three winners came from the fourth row,.
What was the probablity that the CDs were won by 3 students in the same grade? assume the three CDs are all different.

Ways that 3 students out of 25 can win = 25c3 = 25!/(3!*22!) = 2300

Ways that 3 Grade 10 students can win = 6c3 = 6!/(3!*3!) = 20

….OR….

Ways that 3 Grade 11 students can win = 8c3 = 8!/(3!*5!) = 56

….OR….

Ways that 3 Grade 12 students can win = 11c3 = 11!/(3!*8!) = 165

Total ways 3 students in the same grade can win = 20+56+165 = 241

241 ways 3 students in the same grade can win / 2300 ways 3 students out of 25 can win:

241/2300 = 0.104782609

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