Question

) in a drawer there are 4 white socks, 3 blue socks and 5 grey socks. two socks are picked randomly. what is the possibility that both the socks are of same color?

Answer 1

Answer:  The required probability is 30.30%.

Step-by-step explanation:  Given that in a rawer there are 4 white socks, 3 blue socks and 5 grey socks out of which two socks are picked randomly.

We are to find the probability that both the socks are of same color.

The total number of socks in the drawer = 4 + 3 + 5 = 12.

So, the probability that both the socks are white is given by

$P(W)=\dfrac{4}{12}\times\dfrac{3}{11}=\dfrac{1}{11},$

the probability that both the socks are blue is given by

$P(B)=\dfrac{3}{12}\times\dfrac{2}{11}=\dfrac{1}{22}$

and the probability that both the socks are grey is given by

$P(G)=\dfrac{5}{12}\times\dfrac{4}{11}=\dfrac{5}{33}.$

Therefore, the probability that both the socks are of same color is

$p\\\\=P(W)+P(B)+P(G)\\\\\\=\dfrac{1}{11}+\dfrac{1}{22}+\dfrac{5}{33}\\\\\\=\dfrac{3+2+5}{33}\\\\\\=\dfrac{10}{33}\times100\%\\\\=30.30\%.$

Thus, the required probability is 30.30%.

Answer 2

Answer:

Step-by-step explanation: