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anonymous

  • one year ago

Maria will spin the arrow on the spinner 3 times. What is the probability that the arrow will stop on A, then B, then C? A. 3/256 B. 1/64 C. 1/12 D. 3/4 http://static.k12.com/calms_media/media/1419500_1420000/1419788/1/c5ef10c6f32d00fbcd3ddf9e21dbc3b4f9747860/MS_Alg_130926_181907.jpg

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  1. anonymous
    • one year ago
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    Any ideas anyone

  2. mathmate
    • one year ago
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    For one single spin, what is probability that it stop on A?

  3. anonymous
    • one year ago
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    1/4 ?

  4. mathmate
    • one year ago
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    Good, B?

  5. anonymous
    • one year ago
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    Thats what i thought, but wasnt sure

  6. anonymous
    • one year ago
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    Thanks

  7. mathmate
    • one year ago
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    I mean the probability of a single spin resting on B?

  8. anonymous
    • one year ago
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    OH...1/4 also i believe

  9. mathmate
    • one year ago
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    Yes, can we say the same thing for C?

  10. anonymous
    • one year ago
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    Yep..1/4 too

  11. mathmate
    • one year ago
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    So getting A, followed by B, followed by C is a three step experiment, where each step is independent of each other. Under these circumstances, the probability of success in all three steps is the product of the probability of each step.

  12. anonymous
    • one year ago
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    Yep..1/4 too

  13. mathmate
    • one year ago
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    Product means multiply them together.

  14. anonymous
    • one year ago
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    I did not meen to say that

  15. mathmate
    • one year ago
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    This is called the multiplication rule!

  16. anonymous
    • one year ago
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    so multiply 1/4 to the third power

  17. anonymous
    • one year ago
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    Is it A

  18. mathmate
    • one year ago
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    To avoid communication errors, I prefer you to type the answer itself, not the letters. But no, it's not A. Did you multiply together the probabilities of each of the three steps?

  19. anonymous
    • one year ago
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    Yes and yes A is wrong i think it is 1/64

  20. anonymous
    • one year ago
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    That's letter B FYI

  21. anonymous
    • one year ago
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    Am i right

  22. mathmate
    • one year ago
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    The work you should have shown is 1/4 * 1/4 * 1/4 = 1/64.

  23. anonymous
    • one year ago
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    oh i did not know i had to show work im really knew to this...also do you know how to medal people? Also was my awnser right

  24. anonymous
    • one year ago
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    @mathmate Thanks for the help just finished and got a 100% :)

  25. mathmate
    • one year ago
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    Yes, 1/64 is right. I usually ask for showing work to make sure you're on the right track. Some students guess, and I don't need that for math.

  26. mathmate
    • one year ago
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    I thought you already gave me a medal, although you don't have to. You would give a medal to someone who gave you help, and you give the medal to show appreciation by giving him/her a medal. You do this by clicking on the blue "best response" button on the right of the receiver's response. BTW, Welcome to Open Study! We're a nice family that you'd enjoy for a long time. Please read the code of conducts, terms and conditions (links at bottom left). Also, be net-aware, do not give out personal information, or traceable information. This is not a dating site, so if someone sends you undesirable messages, click on the "report abuse" button at the bottom of his/her post.

  27. Loser66
    • one year ago
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    @mathmate can I have question on it? I don't know what is wrong with my logic but no one answer me for my question

  28. mathmate
    • one year ago
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    @Loser66 yes, please tag me.

  29. Loser66
    • one year ago
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    No, this kind of problem. I don't have any thing else

  30. Loser66
    • one year ago
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    The probability to get A is 1/4, sure. But!! to get A at the first spin, it is another topic!!!

  31. anonymous
    • one year ago
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    @mathmate thanks for the introduction to study island and also thanks for explaining the medals thing.

  32. Loser66
    • one year ago
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    My argument: at the first spin, we want the outcome is A, that means it is NOT B and NOT C and NOT D as well.

  33. mathmate
    • one year ago
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    @Loser66 You are right. If you would like to complete the answer, please go ahead. This has to do with the basic axioms of probability.

  34. Loser66
    • one year ago
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    for B: the probability is 1/4, hence NOT B is 3/4 same as NOT C and NOT D, hence , combine them, to get NOT (B and C and D) = A, the probability to be SURE that is A is (0.75)^3

  35. mathmate
    • one year ago
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    Exactly. Each of A,B,C,D has equal probability of 1/4 (4*1/4=1).

  36. mathmate
    • one year ago
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    If you make a single spin, the probability of landing on A is 1/4. Do we agree on this ?

  37. Loser66
    • one year ago
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    That is my question. What is wrong with it?? to force the first spin is A , we need NOT B and NOT C and NOT D but that argument gives us different result from just pick 1/4 for A

  38. mathmate
    • one year ago
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    Landing on A implicitly tells us that it is not B, not C and not D. So the conditions are superfluous.

  39. mathmate
    • one year ago
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    |dw:1432949835677:dw| A,B,C,D are mutually exclusive and complementary.

  40. mathmate
    • one year ago
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    So if you specify A, automatically it excludes the others.

  41. Loser66
    • one year ago
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    AAAhh, I got you!!! "EXCLUSIVE" thanks for explanation. gooooooooooooot it

  42. mathmate
    • one year ago
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    Hope it helped! :)

  43. Loser66
    • one year ago
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    Surely help. I hate probability, but love logic. hehehe...

  44. mathmate
    • one year ago
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    Probability is nice, but there are a lot of terms to remember, and their definitions.

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