Question

in a drawer there are 4 white socks,3 blue socks and 5 grey socks.Two socks are packed randomly.what is the possibility that both the socks are of same colour

a) 4/11
b) 1
c) 2/33
d) 19/66

Answer 1

Step-by-step explanation:

${\huge{\fbox{\fbox{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}}}}}}}}$

Total number of socks = 4 + 3 + 5 = 12

We want same color socks

So we want, 2 white or 2 blue or 2 grey socks

For white :

${\bold{\sf{Probability \: of \: 1st \: sock \: being \: white \: = \: \frac{4}{12}}}}$

${\bold{\sf{Probability \: of \: 2nd \: sock \: being \: white \: = \: \frac{3}{11}}}}$

White Probability will be,

${\bold{\sf{➙ \: \: \: \: \: \frac{4}{12} \: \: × \: \: \frac{3}{11} \: \: = \: \: \frac{1}{11}}}}$

Similarly,

Blue Probability will be,

${\bold{\sf{➙ \: \: \: \: \: \frac{3}{12} \: \: × \: \: \frac{2}{11} \: \: = \: \: \frac{1}{22}}}}$

Grey Probability will be,

${\bold{\sf{➙ \: \: \: \: \: \frac{5}{12} \: \: × \: \: \frac{4}{11} \: \: = \: \: \frac{5}{33}}}}$

∴ Total Probability

${\bold{\sf{➙ \: \: \: \: \: \: \frac{1}{11} \: \: + \: \: \frac{1}{22} \: \: + \: \: \frac{5}{33} \: \: = \: \: \frac{19}{66}}}}$

Answer 2

Step-by-step explanation:

I'm working 6th March so I'll have 88788 and half day on Tuesday so should probably get it