Firm has 10 employees, 2 womens and 8 mens. The Management Board will randomly select 3 employees and reward them with a trip to Venice. What is probability for:(adsbygoogle = window.adsbygoogle || []).push({});

a.) the winners will be only womans

b.) the winners will be only mans

c.) the winners will be exactly 1 women (so other 2 are mans right?)

d.) the winners will be exactly 2 womens (other 1 is man right?)

e). among the winners will be at least 1 woman

solved :

a.) P(A) = 0 (only 2 womans employed)

b.) P(A) = (8 3) / (10 3) = 7/15

c.) P(A) = ((8 2) * (2 1)) / (10 3) -> wrong result

d.) have no idea (all I tried was wrong)

e.) have no idea (all I tried was wrong)

I also tried to calculate c.) like this :

(3 2) * (8/10)^2 * (1-8/10)^1 = 0.384 -> wrong

Thanks for help.

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# Probability questions

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