anonymous
  • anonymous
a laundry bag contains 4 green socks, 6 red socks,and 2 blue socks. Inez reaches into the bag and randomly pull out 2 socks, one right after the other. what is the probability that she pulls out a green sock and then a blue sock?
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
12 socks total.... theres a 4 in 12 chances of picking a green sock.... or is that 1 in 3?
ashwinram
  • ashwinram
4 in 12 chance of green sock for the first pick
ashwinram
  • ashwinram
if you get green, now 2 in 11 chance of blue sock for second pick

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amistre64
  • amistre64
2 in 11 chance for the next one being blue
anonymous
  • anonymous
in my multiple hoisce these are the chouces
amistre64
  • amistre64
its like reading a stroke :)
anonymous
  • anonymous
a. 2/11 b.6/11 c.2/33 d.8/33
anonymous
  • anonymous
* in my multiple choices theses are the choices
ashwinram
  • ashwinram
first action: 4/12 AND second action: 2/11 so combined probability 4/12 * 2/11
ashwinram
  • ashwinram
AND means multiply for probabilities
anonymous
  • anonymous
but how do i multiply it
ashwinram
  • ashwinram
do you know how to multiple fractions?
anonymous
  • anonymous
no not really
ashwinram
  • ashwinram
multiply both numerators with each other
ashwinram
  • ashwinram
and multiply both denominators with each other
anonymous
  • anonymous
ok
anonymous
  • anonymous
i got 8/132
ashwinram
  • ashwinram
\[(4/12) * (3/11) = (4*3) / (12*11)\]
ashwinram
  • ashwinram
you can simplify before or after multiplying
anonymous
  • anonymous
i got it thanks i got 2/33
ashwinram
  • ashwinram
before multiplying: simplify 4/12 which gives you 1/3. Now multiply 1/3 * 2/11 which is (1*2) / (3*11) = 2/33
anonymous
  • anonymous
thanks for your help
ashwinram
  • ashwinram
or after multiplying: first multiply and get (4*2) / (12*11) = 8/132 and now simplify to 2/33
ashwinram
  • ashwinram
it's usually easier to simplify first
ashwinram
  • ashwinram
you're welcome :) glad i could help

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