Akash travels with his two friends to Australia. In his bag, he has 6 black, 4 red, 2 white and 3 blue shirts. On Christmas eve all three of them chose to wear shirts from Akash's collection. Find the probability of 2 red shirts and 1 blue shirt being chosen randomly.

We want 2 red and 1 blue shirt
There are 4 red shirts and 3 blue shirts
Total = 15 shirts
You can choose a blue shirt 1^st, then a red shirt and then a red shirt

Probability = 3/15 × 4/14 × 3/13 = 6/455

OR You can choose a red shirt 1^st, then redshirt and then a blue shirt
OR You can choose a red shirt 1^st, then a blue shirt and then red-shirt
For all 3 the probability remains the same = 6/455

We need to add these 3 probabilities to get the total probability
Total probability = 6/455 + 6/455 + 6/455 = 18/455.