There are seven black socks, eight blue socks, 10 white socks, and five patterned socks in the drawer. What is the probability of pulling a blue sock, replacing it, and then drawing a patterned sock out of the drawer?

- anonymous

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- schrodinger

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- anonymous

@OregonDuck

- OregonDuck

Since there is replacement, the total no. of socks in the drawer does not change, therefore:
The probability of pulling a patterned sock on after the replacement= no. of patterned socks/total no. of socks = 5/30 = 1/6

- moazzam07

7/30 it's 7 black socks

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## More answers

- moazzam07

Wait no

- anonymous

im going to start putting the answers up lol 3/30 13/60 2/45 4/9

- moazzam07

You was right

- moazzam07

That would be helpful

- OregonDuck

well first of all there are 25 socks total/ Considering there are 8 blue socks you have a 8/25 chance of getting a blue sock and because you replace that sock there are still 25 socks and the odds of getting a patterned sock is 5/25. so we just multiply the two together 8/25 * 5/25 = 40/625 simplify to 8/125. I pretty sure that's the answer it's been awhile since I have done this.

- moazzam07

Your right @OregonDuck

- anonymous

thats not a choice tho

- anonymous

@heretohelpalways

- anonymous

I am here

- anonymous

any idea?

- anonymous

yes, what is the probability of each event happening by itself?

- anonymous

1/30

- anonymous

and what are the options?

- moazzam07

Ok it's 8 blue socks and 5 pattern socks

- anonymous

3/30 16/60 2/45 4/9

- anonymous

so if it is 8/30 probability for blue socks and 5/30 for patterned socks, multiply 8/30 by 5/30

- moazzam07

The probability for picking blue and replacing it would be 13/30

- anonymous

? that would not work im so confused

- moazzam07

30 divided by 13 is 2.4

- anonymous

still no :(

- moazzam07

What are the options

- anonymous

ahhhhhhhhhhhh

- anonymous

so the answer would be 2/45

- anonymous

why would it be 2/45

- anonymous

@Owlcoffee

- anonymous

because 8/30*5/30=2/45

- moazzam07

Yes heretohelpalways it right

- moazzam07

C is the correct answer

- anonymous

to find the probability of a compound event, multiply each independent event

- anonymous

in this case, the independent event probabilities are 8/30 and 5/30

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