Can somebody explian to me dependent and independent probability

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Can somebody explian to me dependent and independent probability

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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

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@wio so if I had a bag with a square ,circle,two triangles what. Would be P(T,circle) ?
What do you mean P (T, circle)? what are the events?
@wio sorry and a penny so tails would be T in P(T,circle)
What is the even that is happening?
a penny so tails is not an event.
it sounds like P(T,circle) = "probability of flipping a penny to land on tails AND picking a circle out of the bag"
@wannabegurl is he right?
Yes @wio he is right thanks @jim_thompson5910
Then use the formula I wrote, since the flip is independent of the draw. \[ \Pr(T,\circ)=\Pr(T)\times \Pr(\circ) \]
Ok @wio if you say soo
You could draw out a table to help you find the probability |dw:1361673237553:dw|
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|
Thanks sooooooooooooooooooooo muchhhhhhhhh @jim_thompson5910 and @wio you guys or girls helped me a lot thanks
yw

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