MHB Mutually Exclusive Probabilities: A vs. B

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Hey everyone. Question! If the probability of A is .3 and the probability of B is .8, can A and. B be mutually exclusive? This is confusing me!
 
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They can be mutually exclusive if $\displaystyle P(A\cup B) = P(A)+P(B)$

In your case I don't like the chances!
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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