Independent events

Kamykazee

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Joined
Feb 4, 2011
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6
Consider the experience represented by the throwing of two dice: one yellow and one green. Let A be the event that the yellow dice appears with the side 2, and B the event that the green dice appears with the side 3.
Are events A and B independent? Justify your answer.


I don't know how to go about this. How can they not be independent? I would appreciate an explanation, if someone has the time. Thank you in advance.


EDIT: Is it merely the probability that events A and B intersect? In other words, the probability that they would have the same sides, which is \(\displaystyle \frac {1}{6} * \frac {1}{6}\) ?
 

tkhunny

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Apr 12, 2005
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Defintion of Independent is what?

Whatever the relationship, if \(\displaystyle P(A) \cap P(B) = P(A)\cdot P(B)\), it's independent.

Your opinion about independence, either way, is of no consequence.
 
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