In a drawer, five pair of socks folded together with their matching color lies. These five colors are: Pink, Orange, Green, Purple and Yellow. Each color has only one corresponding pair of socks.
It is night time and you can't see anything in the drawer. You take out a random pair of socks and before you can wear them, you keep them back and pick again. Now, you haven't seen the color yet. Can you calculate the probability that both the times you picked up, you picked pinks socks?
Solution:
Here, there are two events that are independent of each other. Now, in such case, we calculate the probability of both occurring A and Bas:
P(A and B) = P(A) * P(B)
P(Pink) = 1/5
P(Pink and Pink) = P(Pink) * P(Pink)
= 1/5*1/5
= 1/25