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monroe17 Group Title

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)

  • 2 years ago
  • 2 years ago

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  1. TuringTest Group Title
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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?

    • 2 years ago
  2. monroe17 Group Title
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    3

    • 2 years ago
  3. monroe17 Group Title
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    I'm not even sure how to solve it first of all.

    • 2 years ago
  4. monroe17 Group Title
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    2 outcomes for each right?

    • 2 years ago
  5. TuringTest Group Title
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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

    • 2 years ago
  6. monroe17 Group Title
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    |dw:1339811932001:dw| like that or different?

    • 2 years ago
  7. TuringTest Group Title
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    no, they are all supposed to originate from the same point

    • 2 years ago
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    |dw:1339812046337:dw|

    • 2 years ago
  9. monroe17 Group Title
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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?

    • 2 years ago
  10. monroe17 Group Title
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    OHH okay.

    • 2 years ago
  11. monroe17 Group Title
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    For the first question isn't it only one way without replacement?

    • 2 years ago
  12. monroe17 Group Title
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    and 2 ways for the second question?

    • 2 years ago
  13. TuringTest Group Title
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    no and yes respectively

    • 2 years ago
  14. TuringTest Group Title
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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

    • 2 years ago
  15. TuringTest Group Title
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    try to draw it in with the "reply using drawing" feature

    • 2 years ago
  16. monroe17 Group Title
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    |dw:1339812287194:dw| this?

    • 2 years ago
  17. TuringTest Group Title
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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

    • 2 years ago
  18. monroe17 Group Title
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    ohh lol! thanks for the note. Uhm, there are 3 pairs?

    • 2 years ago
  19. monroe17 Group Title
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    BG,BT,TG

    • 2 years ago
  20. TuringTest Group Title
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    |dw:1339812688135:dw|yep, 3 distinct pairs :)

    • 2 years ago
  21. monroe17 Group Title
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    So there are 3 ways to select 2 socks without replacement?

    • 2 years ago
  22. monroe17 Group Title
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    and 2 ways to get a Black and Tan sock.. TB and BT?

    • 2 years ago
  23. TuringTest Group Title
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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?

    • 2 years ago
  24. TuringTest Group Title
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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

    • 2 years ago
  25. TuringTest Group Title
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    what is the exact wording of the question?

    • 2 years ago
  26. monroe17 Group Title
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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?

    • 2 years ago
  27. TuringTest Group Title
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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?

    • 2 years ago
  28. monroe17 Group Title
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    BT?

    • 2 years ago
  29. TuringTest Group Title
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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?

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

    • 2 years ago
  31. TuringTest Group Title
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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?

    • 2 years ago
  32. monroe17 Group Title
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    OH HAHA.. sorry. 6 ways.

    • 2 years ago
  33. monroe17 Group Title
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    wait 6 ways, without replacement? What does it mean by without replacement though?

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

    • 2 years ago
  35. TuringTest Group Title
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    |dw:1339813592285:dw|

    • 2 years ago
  36. TuringTest Group Title
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    that would be with replacement, which would allow us to pull, say, the black sock out twice

    • 2 years ago
  37. monroe17 Group Title
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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?

    • 2 years ago
  38. TuringTest Group Title
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    exactly :)

    • 2 years ago
  39. monroe17 Group Title
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    Wow, thanks so much:D

    • 2 years ago
  40. TuringTest Group Title
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    very welcome, see ya!

    • 2 years ago
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