Q58 / 200 · TS EAMCET 2002 · Mathematics

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

  • A
    $\frac{1}{3}$
  • B
    $\frac{1}{4}$
  • C
    $\frac{5}{12}$
  • Correct answer
    D
    $\frac{2}{3}$

Solution

Required probability $$ =\frac{5 C_1+3 C_1}{12 C_1}=\frac{5+3}{12}=\frac{8}{12}=\frac{2}{3} $$

Hence, the correct answer is option: 'D'.

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