SOLUTION: Please help me solve this problem: Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selec

Question 1105971: Please help me solve this problem: Twelve Ketchup cans, all of the same size have lost their labels. It is known that 7 contain tomatoes and remaining contain corn. If 5 cans selected at random. What is the probability that

i-All contain tomatoes ii-Five or more contain tomatoes iii-Exactly three contain tomatoes�

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
12C5 ways to choose 5 from 12 (792)
7C5are the ways to choose 5 out of the group that have tomatoes (21)
21/792 or 0.0265
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5 or more contain tomatoes is the same probability since only 5 are being drawn.
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3 do is 7C3*5C2, the ways 2 that don't have tomatoes can be chosen.
35*10=350 ways and the corresponding probability is 0.442
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