SOLUTION: Please assist. I'm trying to solve this probability problem from a WebAssign homework worksheet. Two flower seeds are randomly selelct from a package that contains 5 seeds for r

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Question 228214: Please assist. I'm trying to solve this probability problem from a WebAssign homework worksheet.
Two flower seeds are randomly selelct from a package that contains 5 seeds for red flowers and 12 seeds fro white flowers. (Provide answers correct to 3 decimal places.)
a) What is the probability that both seeds will result in red flowers?
b) What is the probability that one of each color is selected?
c) What is the probablity that both seeds are for white flowers?
This is for an online class and there was no resolution to the incorrect answers I submitted, so can you please help me figure out what I did wrong.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Two flower seeds are randomly selected from a package that contains 5 seeds for red flowers and 12 seeds fro white flowers. (Provide answers correct to 3 decimal places.)
a) What is the probability that both seeds will result in red flowers?
Ans:5C2/17C2 = (5/17)(4/16) = 5/68
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c) What is the probablity that both seeds are for white flowers?
Ans: 12C2/17C2 = (12/17)(11/16) = 33/68
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b) What is the probability that one of each color is selected?
Ans: P(one of each) = 1-[p(both red)+P(both white)]
P(one of each) = 1-[5/68 + 33/68] = 30/68
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Comment: It is easier to find the answer for question b AFTER
figuring the answer for question a and question c.
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Cheers,
Stan H.