So i am stuck, I've looked everywhere and wasted 2 hours on this one problem. I have a two circle Venn diagram showing
At a diplomatic party at which two countries, A and B have an interest, each guest may be a spy for either or both of these countries. The probability that any given guest is a spy for A is 0.6; the probability that she is a spy for B is 0.5; the probability that she is NOT a spy at all is 0.1. What is the probability that she is a double agent?
My Venn diagram shows the outside no circle as 0.1 (not a spy), the intersection is 0.3 (0.6*0.5) can anybody help me figure out what the rest of circle A is? And the rest of circle B, and is my intersection right? I can't come up with reasonable figures which add to 1 (including not being a spy at all). Thanks!
At a diplomatic party at which two countries, A and B have an interest, each guest may be a spy for either or both of these countries. The probability that any given guest is a spy for A is 0.6; the probability that she is a spy for B is 0.5; the probability that she is NOT a spy at all is 0.1. What is the probability that she is a double agent?
My Venn diagram shows the outside no circle as 0.1 (not a spy), the intersection is 0.3 (0.6*0.5) can anybody help me figure out what the rest of circle A is? And the rest of circle B, and is my intersection right? I can't come up with reasonable figures which add to 1 (including not being a spy at all). Thanks!
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Probably of being a:
spy = 0.9
double agent = x
spy for A only = 0.6 - x
spy for B only = 0.5 - x
x + (0.6 - x) + (0.5 - x) = 0.9
x = 0.2
http://www.flickr.com/photos/dwread/5672…
spy = 0.9
double agent = x
spy for A only = 0.6 - x
spy for B only = 0.5 - x
x + (0.6 - x) + (0.5 - x) = 0.9
x = 0.2
http://www.flickr.com/photos/dwread/5672…