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AP EAMCET · Maths · Probability

A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, the probability that either both are white or both are blue is

  1. A \(4 / 105\)
  2. B \(1 / 35\)
  3. C \(1 / 105\)
  4. D \(1 / 15\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(4 / 105\)

Step-by-step Solution

Detailed explanation

There are 6 black, 4 red, 2 white and 3 blue shirts. 2 shirts can be picked in \({ }^{15} C_2\). ways 2 white shirts can be picked in \({ }^2 C_2\) ways. 2 blue shirts can be picked in \({ }^3 C_2\) ways. Probability of getting 2 white shirts \(=\frac{{ }^2 C_2}{{ }^{15} C_2}\)…