View Full Version : Independent events

02-06-2011, 06:48 AM
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 \frac {1}{6} * \frac {1}{6} ?

02-06-2011, 04:25 PM
Defintion of Independent is what?

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

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