Statistics And Probability Question 251

Question: A bag contains 5 white, 7 black and 4 red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white, is

[MP PET 1997]

Options:

A) $ \frac{3}{16} $

B) $ \frac{3}{5} $

C) $ \frac{1}{60} $

D) $ \frac{1}{56} $

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Answer:

Correct Answer: D

Solution:

  •         Required probability  $ =\frac{{}^{5}C_3}{{}^{16}C_3}=\frac{5\times 4\times 3}{16\times 15\times 14}=\frac{1}{56} $ .