Asock drawer has 8 blue socks and 6 black socks. if i randomly select two socks, one at a time, what is the probability i will first get a blue sock and then, without replacing it, a black sock? a. 24/91 b. 2/7 c. 6/81 d. 4/13

Calculate first the total number of permutation possible.

You select two socks so that will be:

14⋅13=182

Now you must first select a blue sock then a black sock:

You can only pick 8 possible blue socks
You can only pick 6 possible black socks

which means that this permutation (blue→black) have 8⋅6=48 possibilities for each different blue and black sock.

express in fraction:

48182=2491

d

gimmee one of those gold crowns!

~coco