SOLUTION: A scratcher has four even numbers and four odd numbers covered. What are the odds that you would scratch off three even numbers on your first try?

Question 167408: A scratcher has four even numbers and four odd numbers covered. What are the odds that you would scratch off three even numbers on your first try?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A scratcher has four even numbers and four odd numbers covered. What are the odds that you would scratch off three even numbers on your first try?
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P(3 even with no replacement) = (4/8)(3/7)(2/6) = 0.0714...
P(not 3 even) = 0.92857..
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Odds in favor of 3 even = P(3 even)/P(not 3 even) = 0.07689...
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Cheers,
Stan H.
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