Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.

QUESTION

# A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability l will first get a blue sock and then, without replacing it, a black sock?

24/91

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:

48/182=24/91

in case your curious, all possibilities have the following odds:

("blue"->"blue")=56/182=28/91

("black"->"black")=30/182=15/91

("black"->"blue")=48/182=24/91

(24+24+15+28)/91=91/91

LEARN MORE EFFECTIVELY AND GET BETTER GRADES!