anonymous
  • anonymous
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?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • 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
  • moazzam07
7/30 it's 7 black socks

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moazzam07
  • moazzam07
Wait no
anonymous
  • anonymous
im going to start putting the answers up lol 3/30 13/60 2/45 4/9
moazzam07
  • moazzam07
You was right
moazzam07
  • moazzam07
That would be helpful
OregonDuck
  • 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
  • moazzam07
Your right @OregonDuck
anonymous
  • anonymous
thats not a choice tho
anonymous
  • anonymous
anonymous
  • anonymous
I am here
anonymous
  • anonymous
any idea?
anonymous
  • anonymous
yes, what is the probability of each event happening by itself?
anonymous
  • anonymous
1/30
anonymous
  • anonymous
and what are the options?
moazzam07
  • moazzam07
Ok it's 8 blue socks and 5 pattern socks
anonymous
  • anonymous
3/30 16/60 2/45 4/9
anonymous
  • anonymous
so if it is 8/30 probability for blue socks and 5/30 for patterned socks, multiply 8/30 by 5/30
moazzam07
  • moazzam07
The probability for picking blue and replacing it would be 13/30
anonymous
  • anonymous
? that would not work im so confused
moazzam07
  • moazzam07
30 divided by 13 is 2.4
anonymous
  • anonymous
still no :(
moazzam07
  • moazzam07
What are the options
anonymous
  • anonymous
ahhhhhhhhhhhh
anonymous
  • anonymous
so the answer would be 2/45
anonymous
  • anonymous
why would it be 2/45
anonymous
  • anonymous
anonymous
  • anonymous
because 8/30*5/30=2/45
moazzam07
  • moazzam07
Yes heretohelpalways it right
moazzam07
  • moazzam07
C is the correct answer
anonymous
  • anonymous
to find the probability of a compound event, multiply each independent event
anonymous
  • anonymous
in this case, the independent event probabilities are 8/30 and 5/30

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