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?

Question

amistre64 · Answer

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

ashwinram · Answer

4 in 12 chance of green sock for the first pick

ashwinram · Answer

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

amistre64 · Answer

2 in 11 chance for the next one being blue

anonymous · Answer

in my multiple hoisce these are the chouces

amistre64 · Answer

its like reading a stroke :)

anonymous · Answer

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

anonymous · Answer

* in my multiple choices theses are the choices

ashwinram · Answer

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

ashwinram · Answer

AND means multiply for probabilities

anonymous · Answer

but how do i multiply it

ashwinram · Answer

do you know how to multiple fractions?

anonymous · Answer

no not really

ashwinram · Answer

multiply both numerators with each other

ashwinram · Answer

and multiply both denominators with each other

anonymous · Answer

ok

anonymous · Answer

i got 8/132

ashwinram · Answer

$$(4/12) * (3/11) = (4*3) / (12*11)$$

ashwinram · Answer

you can simplify before or after multiplying

anonymous · Answer

i got it thanks i got 2/33

ashwinram · Answer

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 · Answer

thanks for your help

ashwinram · Answer

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

ashwinram · Answer

it's usually easier to simplify first

ashwinram · Answer

you're welcome :) glad i could help