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geographyishard

  • 3 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?

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  1. amistre64
    • 3 years ago
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    12 socks total.... theres a 4 in 12 chances of picking a green sock.... or is that 1 in 3?

  2. ashwinram
    • 3 years ago
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    4 in 12 chance of green sock for the first pick

  3. ashwinram
    • 3 years ago
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    if you get green, now 2 in 11 chance of blue sock for second pick

  4. amistre64
    • 3 years ago
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    2 in 11 chance for the next one being blue

  5. geographyishard
    • 3 years ago
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    in my multiple hoisce these are the chouces

  6. amistre64
    • 3 years ago
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    its like reading a stroke :)

  7. geographyishard
    • 3 years ago
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    a. 2/11 b.6/11 c.2/33 d.8/33

  8. geographyishard
    • 3 years ago
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    * in my multiple choices theses are the choices

  9. ashwinram
    • 3 years ago
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    first action: 4/12 AND second action: 2/11 so combined probability 4/12 * 2/11

  10. ashwinram
    • 3 years ago
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    AND means multiply for probabilities

  11. geographyishard
    • 3 years ago
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    but how do i multiply it

  12. ashwinram
    • 3 years ago
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    do you know how to multiple fractions?

  13. geographyishard
    • 3 years ago
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    no not really

  14. ashwinram
    • 3 years ago
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    multiply both numerators with each other

  15. ashwinram
    • 3 years ago
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    and multiply both denominators with each other

  16. geographyishard
    • 3 years ago
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    ok

  17. geographyishard
    • 3 years ago
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    i got 8/132

  18. ashwinram
    • 3 years ago
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    \[(4/12) * (3/11) = (4*3) / (12*11)\]

  19. ashwinram
    • 3 years ago
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    you can simplify before or after multiplying

  20. geographyishard
    • 3 years ago
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    i got it thanks i got 2/33

  21. ashwinram
    • 3 years ago
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    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
    • 3 years ago
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    thanks for your help

  23. ashwinram
    • 3 years ago
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    or after multiplying: first multiply and get (4*2) / (12*11) = 8/132 and now simplify to 2/33

  24. ashwinram
    • 3 years ago
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    it's usually easier to simplify first

  25. ashwinram
    • 3 years ago
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    you're welcome :) glad i could help

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