A bag contains 8 green and 7 blue balls Three balls are drawn at random What is the probability that...........

Quantitative Aptitude (CDS) Probability

A bag contains 8 green and 7 blue balls. Three balls are drawn at random. What is the probability that 1 is green and 2 is blue?

1-29/455

39/455

29/455

1-39/455

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Explanation:

Let S be the sample space and E be the event of drawing 3 balls out of which 2 are blue and 1 is green.
Then, n (S) = Number of ways of drawing 3 balls out of 15 = 15C3 =455
and n (E) = Number of ways of drawing 2 balls out of 7and 1 ball out of 8.
= 7C2 + 8C1
=21+8
=29
P (E) =n (E)/n (S)
=29/455