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

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step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.