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why are you multiplying those two numbers?

isnt that how you get the probability for AND?

not in this case

Then Im completely lost.

your events are NOT independent

I think that's the concept that I dont quite understand

would the formula be P(A U B)/P(A)?

no

use \[P(A^c\cap B^c)=1-P(A\cup B)\]

so the 1-P(none) formula

for any event E
\[P(E)=1-P(E^c)\]
or \[P(E^c)=1-P(E)\]

so how exactly does not being independent effect the problem?

events A and B are independent iff
\[P(A\cap B)=P(A)P(B)\]

you cant use this formula since A and B are not independent

NO

independent events intersect (most of the time)

if A and B are independent and P(A)>0 and P(B)>0 then A and B have to intersect.

use
\[P(A^c\cap B^c)=1-P(A\cup B)=1-[P(A)+P(B)-P(A\cap B)]\]

yes

oh wait

I see nevermind

|dw:1321205205257:dw|
So the answer is .02? that's seems really small.(compared to the other answer)

it is .02

ok thanks

I would check your key again...if you just change from .4 to .47 then .2775 is not the answer