## geographyishard 4 years ago 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?

1. amistre64

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

2. ashwinram

4 in 12 chance of green sock for the first pick

3. ashwinram

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

4. amistre64

2 in 11 chance for the next one being blue

5. geographyishard

in my multiple hoisce these are the chouces

6. amistre64

its like reading a stroke :)

7. geographyishard

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

8. geographyishard

* in my multiple choices theses are the choices

9. ashwinram

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

10. ashwinram

AND means multiply for probabilities

11. geographyishard

but how do i multiply it

12. ashwinram

do you know how to multiple fractions?

13. geographyishard

no not really

14. ashwinram

multiply both numerators with each other

15. ashwinram

and multiply both denominators with each other

16. geographyishard

ok

17. geographyishard

i got 8/132

18. ashwinram

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

19. ashwinram

you can simplify before or after multiplying

20. geographyishard

i got it thanks i got 2/33

21. 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

22. geographyishard

23. ashwinram

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

24. ashwinram

it's usually easier to simplify first

25. ashwinram

you're welcome :) glad i could help