Write down the probability that the sock is red.

Alan returns the sock to the laundry basket and selects two socks at random.

Find the probability that the first sock he selects is green and the second sock is black.

Alan returns the socks to the laundry basket and again selects two socks at random.

Find the probability that he selects two socks of the same colour.

\(\frac{3}{{12}}\left( {\frac{1}{4},0.25,25\% } \right)\)     (A1)     (C1)

\(\left( {\frac{2}{{12}}} \right) \times \left( {\frac{7}{{11}}} \right)\)     (M1)

Note: Award (M1) for correct product.

\( = \frac{{14}}{{132}}\left( {\frac{7}{{66}},0.10606...,10.6\% } \right)\)     (A1)     (C2)

\(\left( {\frac{2}{{12}} \times \frac{1}{{11}}} \right) + \left( {\frac{3}{{12}} \times \frac{2}{{11}}} \right) + \left( {\frac{7}{{12}} \times \frac{6}{{11}}} \right)\)     (M1)(M1)

Note: Award (M1) for addition of their 3 products, (M1) for 3 correct products.

\( = \frac{{50}}{{132}}\left( {\frac{25}{{66}},0.37878...,37.9\% } \right)\)     (A1)     (C3)