Question

Badri has 9 pairs of dark blue socks and 9 pairs of black socks. He keeps them all in the same bag. If he picks out three socks at random, then what is the probability that he will get a matching pair ?

• A. (29C29C1)/18C3
• B. (9C29C1)/18C3
• C. 1
• D. None of these

Answer 1

Answer: (C)

1

Answer 2

Since, there are only two types of socks in the bag. So, if Badri pick up 3 socks then certainly two of them are of same type. Thus this is a certain event.
$\rightarrow$Required probability = 1
The correct answer is (C) :1