An urn contains 3 red 4 black 5 pink and 7 green marbles If five marbles are drawn at random what is...........

Quantitative Aptitude (CDS) Probability

An urn contains 3 red, 4 black, 5 pink, and 7 green marbles. If five marbles are drawn at random, what is the probability that two are black and three are green?

35/1938

1/1938

1/210

1/1162

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Explanation:

Five marbles are drawn at random from an urn of 19 marbles in 19C5 ways, then
n(T) = 19C5 = 19!/5!×14!
= 11628
Let E be the event that two marbles are black and three are green, then
n(E)= 4C2 × 7C3
= 210
Thus , required probability = n(E)/n(T)
= 210/11628 = 35/1938