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

Step-by-step solution

There are 6 black, 4 red, 2 white and 3 blue shirts. 2 shirts can be picked in ¹⁵ C₂ . ways 2 white shirts can be picked in ^2 C₂ ways. 2 blue shirts can be picked in ^3 C₂ ways. Probability of getting 2 white shirts = ^2 C₂ ¹⁵ C₂ Probability of getting 2 blue shirts = ^3 C₂ ¹⁵ C₂ Required probability = ^2 C₂+ ^3 C₂ ¹⁵ C₂ = 1+3 ( 15 ! 2 ! 13 ! ) = 4 2 15 14 = 4 105