The population of registered voters contains 45% republicans and 55% democrats. If 25% of republicans and 75% of democrats favor an issue, and a person who is chosen at random favors the issue, what is the probability that she
was a democrat?
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This is what i have come up with so far.
P(republican) = .45
P(democrat) = .55
P(republican and favors) = .25*.45
P(democrat and favors) = .75 *.55
P(favor) = P(republican AND favors) + P (democrat AND favors)
P(democrat given that favors) = P(democrat and favors)/ (Pfavors)
Hm, well this is what I came up with. Still thinking about it.
45*4 republicans and 55*4 democrats, let
If 25% of republicans favor an issue means=45
and 75% of democrats favor an issue means = 165
total who favours = 210
P of her to be democrat= 165/210
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yeah, I got .786 too. I was confused if the question was asking about P(democrat given that she favors the bill) or something like P(democrat and favors), but we are given that in the problem statement.