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wannabegurl

  • one year ago

Can somebody explian to me dependent and independent probability

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  1. wio
    • one year ago
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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.

  2. wio
    • one year ago
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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.

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

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

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

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

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

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

  9. jim_thompson5910
    • one year ago
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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"

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

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

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

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

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

  15. jim_thompson5910
    • one year ago
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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|