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Mathematics 16 Online
OpenStudy (wannabegurl):

Can somebody explian to me dependent and independent probability

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (wannabegurl):

@wio so if I had a bag with a square ,circle,two triangles what. Would be P(T,circle) ?

OpenStudy (anonymous):

What do you mean P (T, circle)? what are the events?

OpenStudy (wannabegurl):

@wio sorry and a penny so tails would be T in P(T,circle)

OpenStudy (anonymous):

What is the even that is happening?

OpenStudy (anonymous):

a penny so tails is not an event.

jimthompson5910 (jim_thompson5910):

it sounds like P(T,circle) = "probability of flipping a penny to land on tails AND picking a circle out of the bag"

OpenStudy (anonymous):

@wannabegurl is he right?

OpenStudy (wannabegurl):

Yes @wio he is right thanks @jim_thompson5910

OpenStudy (anonymous):

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

OpenStudy (wannabegurl):

Ok @wio if you say soo

jimthompson5910 (jim_thompson5910):

You could draw out a table to help you find the probability |dw:1361673237553:dw|

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