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monroe17

Suppose you have socks loose in a drawer. You have a black sock, a gray sock and a tan sock. How many outcomes are there for selecting 2 socks? a. make a tree diagram to model the selection of 2 socks WITHOUT replacement. (That is, you keep the sock out of the drawer and there is now one less sock to choose from)

  • one year ago
  • one year ago

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  1. TuringTest
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    to make a tree diagram you draw one line for each possible choice how many possible outcomes are there for the first sock?

    • one year ago
  2. monroe17
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    3

    • one year ago
  3. monroe17
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    I'm not even sure how to solve it first of all.

    • one year ago
  4. monroe17
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    2 outcomes for each right?

    • one year ago
  5. TuringTest
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    the question you posted just asks for the diagram, so just draw a line for each possible sock label each one b, g, or t

    • one year ago
  6. monroe17
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    |dw:1339811932001:dw| like that or different?

    • one year ago
  7. TuringTest
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    no, they are all supposed to originate from the same point

    • one year ago
  8. TuringTest
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    |dw:1339812046337:dw|

    • one year ago
  9. monroe17
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    I also have to find out: how many ways can you select 2 socks without replacement? and How many ways can you get a black and a tan sock?

    • one year ago
  10. monroe17
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    OHH okay.

    • one year ago
  11. monroe17
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    For the first question isn't it only one way without replacement?

    • one year ago
  12. monroe17
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    and 2 ways for the second question?

    • one year ago
  13. TuringTest
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    no and yes respectively

    • one year ago
  14. TuringTest
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    there are two ways for the next trial to occur. can you draw in the lines that would represent the next branches of the tree it will be the same as before, but with two branches for each possibility

    • one year ago
  15. TuringTest
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    try to draw it in with the "reply using drawing" feature

    • one year ago
  16. monroe17
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    |dw:1339812287194:dw| this?

    • one year ago
  17. TuringTest
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    yes, very nice note that you could have hit the upper-right corner of my drawing to avoid drawing the whole thing over again so how many distinct pairs are there? you can count them watch out for duplicates though. remember that bt=tb the order of pulling out the socks does not matter

    • one year ago
  18. monroe17
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    ohh lol! thanks for the note. Uhm, there are 3 pairs?

    • one year ago
  19. monroe17
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    BG,BT,TG

    • one year ago
  20. TuringTest
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    |dw:1339812688135:dw|yep, 3 distinct pairs :)

    • one year ago
  21. monroe17
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    So there are 3 ways to select 2 socks without replacement?

    • one year ago
  22. monroe17
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    and 2 ways to get a Black and Tan sock.. TB and BT?

    • one year ago
  23. TuringTest
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    well the difficulty comes in the wording what do you think they are asking you? is a black then tan different from a tan then black?

    • one year ago
  24. TuringTest
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    if they are different, there are 6 possibilities as you can see if all that matters are the possible pairs, then 3

    • one year ago
  25. TuringTest
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    what is the exact wording of the question?

    • one year ago
  26. monroe17
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    Suppose you have socks loose in a drawer. You have a black sock, a gray sock, and a tan sock. How many outcomes are there for selecting 2 socks? a. Make a tree diagram to model the selection of 2 socks WITHOUT REPLACEMENT. (That is, you keep the sock out of the drawer and there is now one less sock to choose from) b. How many ways can you select 2 socks without replacement? c. How many ways can you get a black and a tan sock?

    • one year ago
  27. TuringTest
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    ok, since they ask "how many ways you can get a black and tan sock" that means to me that they consider bt distinct from tb (the order you pull them out seems to matter) so then what is b?

    • one year ago
  28. monroe17
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    BT?

    • one year ago
  29. TuringTest
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    no I mean the answer to part b) what is it if they consider pulling out a black then green \(different\) from green then black?

    • one year ago
  30. monroe17
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    Then the answer is two ways; BT and TB. Right? Since they're considering them different.

    • one year ago
  31. TuringTest
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    that would be the answer to part c but what about the total number of ways to pull out the socks? our earlier answer, 3, was based on the idea that BT and TB are the same but since we now think they are different, what is our new answer?

    • one year ago
  32. monroe17
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    OH HAHA.. sorry. 6 ways.

    • one year ago
  33. monroe17
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    wait 6 ways, without replacement? What does it mean by without replacement though?

    • one year ago
  34. TuringTest
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    yes, otherwise it would be 3x3=9 ways (think about what the tree diagram would look like to see why)

    • one year ago
  35. TuringTest
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    |dw:1339813592285:dw|

    • one year ago
  36. TuringTest
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    that would be with replacement, which would allow us to pull, say, the black sock out twice

    • one year ago
  37. monroe17
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    ohhhh gotcha! So my tree diagram is correct from the above picture I drew and the answer to part B is 6 ways and the answer to part C is two ways BT and TB?

    • one year ago
  38. TuringTest
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    exactly :)

    • one year ago
  39. monroe17
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    Wow, thanks so much:D

    • one year ago
  40. TuringTest
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    very welcome, see ya!

    • one year ago
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