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?

- anonymous

- katieb

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- amistre64

12 socks total.... theres a 4 in 12 chances of picking a green sock.... or is that 1 in 3?

- ashwinram

4 in 12 chance of green sock for the first pick

- ashwinram

if you get green, now 2 in 11 chance of blue sock for second pick

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## More answers

- amistre64

2 in 11 chance for the next one being blue

- anonymous

in my multiple hoisce these are the chouces

- amistre64

its like reading a stroke :)

- anonymous

a. 2/11
b.6/11
c.2/33
d.8/33

- anonymous

* in my multiple choices theses are the choices

- ashwinram

first action: 4/12
AND second action: 2/11
so combined probability 4/12 * 2/11

- ashwinram

AND means multiply for probabilities

- anonymous

but how do i multiply it

- ashwinram

do you know how to multiple fractions?

- anonymous

no not really

- ashwinram

multiply both numerators with each other

- ashwinram

and multiply both denominators with each other

- anonymous

ok

- anonymous

i got 8/132

- ashwinram

\[(4/12) * (3/11) = (4*3) / (12*11)\]

- ashwinram

you can simplify before or after multiplying

- anonymous

i got it thanks i got 2/33

- 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

thanks for your help

- ashwinram

or after multiplying: first multiply and get (4*2) / (12*11) = 8/132 and now simplify to 2/33

- ashwinram

it's usually easier to simplify first

- ashwinram

you're welcome :) glad i could help

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