Question 4
A box contains two pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?

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Solution

Total number of socks in the box is =4.
On picking out one white sock, number of socks remaining in the box is =3 (2 black socks and 1 white sock)
$P r o b a b i l i t y = \frac{n u m b e r o f f a v o u r a b l e o u t c o m e s}{n u m b e r o f p o s s i b l e o u t c o m e s}$
$∴$ P (picking another sock to make it a pair) $= \frac{1}{3}$

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Question 4 A box contains two pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?

Total number of socks in the box is =4. On picking out one white sock, number of socks remaining in the box is =3 (2 black socks and 1 white sock) Probability=number of favourable outcomesnumber of possible outcomes ∴ P (picking another sock to make it a pair) =13

Question 4
A box contains two pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?