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wannabegurl Group Title

Can somebody explian to me dependent and independent probability

  • one year ago
  • one year ago

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  1. wio Group Title
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    Independent events in probability is when two events do not affect each others outcome. For example if you flip a coin twice, the event that the first flip is heads is independent of the event that the second flip is heads.

    • one year ago
  2. wio Group Title
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    However if you have an event where both flips are heads, then the event that the first flip is heads affects the outcome of this event. You know it is more likely to happen then before the first flip. Thus the events are dependent on each other.

    • one year ago
  3. wio Group Title
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    The significance of this is that if two events are independent, then the chance of then both happening is \[ \Pr(AB) = \Pr(A) \times \Pr(B) \]

    • one year ago
  4. wannabegurl Group Title
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    @wio so if I had a bag with a square ,circle,two triangles what. Would be P(T,circle) ?

    • one year ago
  5. wio Group Title
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    What do you mean P (T, circle)? what are the events?

    • one year ago
  6. wannabegurl Group Title
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    @wio sorry and a penny so tails would be T in P(T,circle)

    • one year ago
  7. wio Group Title
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    What is the even that is happening?

    • one year ago
  8. wio Group Title
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    a penny so tails is not an event.

    • one year ago
  9. jim_thompson5910 Group Title
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    it sounds like P(T,circle) = "probability of flipping a penny to land on tails AND picking a circle out of the bag"

    • one year ago
  10. wio Group Title
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    @wannabegurl is he right?

    • one year ago
  11. wannabegurl Group Title
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    Yes @wio he is right thanks @jim_thompson5910

    • one year ago
  12. wio Group Title
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    Then use the formula I wrote, since the flip is independent of the draw. \[ \Pr(T,\circ)=\Pr(T)\times \Pr(\circ) \]

    • one year ago
  13. wannabegurl Group Title
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    Ok @wio if you say soo

    • one year ago
  14. jim_thompson5910 Group Title
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    You could draw out a table to help you find the probability |dw:1361673237553:dw|

    • one year ago
  15. jim_thompson5910 Group Title
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    Each cell would get the respective header from each row and column for example, this cell marked with an X |dw:1361673403499:dw| would have "H, Square" and this is the outcome where you flip a heads and pull out a square so you would enter that into the upper right cell to get |dw:1361673459247:dw|

    • one year ago