Probability Question 100

Question: A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is a black or red ball is

[EAMCET 2002]

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{4} $

C) $ \frac{5}{12} $

D) $ \frac{2}{3} $

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Answer:

Correct Answer: D

Solution:

P(Black or Red) $ =\frac{^{5}C_1+{{}^{3}}C_1}{^{12}C_1}=\frac{2}{3} $ .