SOLUTION: A gardener has eleven identical-looking tulip bulbs, of which six will produce yellow tulips and five will become pink. She randomly selects and plants six of them and then gives t

Question 1104727: A gardener has eleven identical-looking tulip bulbs, of which six will produce yellow tulips and five will become pink. She randomly selects and plants six of them and then gives the rest away. When the flowers start to bloom, what is the probability that all of them are yellow
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
All are yellow is (6/11)(5/10)(4/9)(3/8)(2/7)(1/6)=720/332640, or 0.0022
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The number of ways of choosing 6 of the 11 bulbs is "11 choose 6" = C(11,6) = 462.

There is only one way (that is, C(6,6)) of choosing all 6 of the bulbs that will produce yellow flowers.

So the probability of having all yellow flowers is 1/462 = .0021645 (to several decimal places).
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