find p(a and b) assuming that a and b are independent
A= .30, and B=.20
independent probability events are multiplied.
Remember you can't have a probability greater than 1 or less than 0. So if we draw a little chart where the top path is when something happens and the bottom path is where it doesn't happen. |dw:1406698497790:dw| The first fork in the road is A and the second fork in the road is B. So the top is the probability both A and B are true, the second is that A is true and B is false, the third from the top is B is true and A is false and the very bottom is A and B are both false. The probabilities listed are just for the individual A and B probabilities, so you should see that by multiplying the values along each path to get to the end that they all add up to 1 for all 4 of those cases on the end.
Thank you everyone! I understand now.
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