Posted by Anonymous on Tuesday, February 5, 2013 at 2:06am.
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the drawn ball is red.

maths  Reiny, Tuesday, February 5, 2013 at 8:49am
consider the result as 2 independent events
bag1, red
bag2, red
Prob(bag1,red) = (1/2)(4,7) = 2/7
prob(bag2,red) = (1/2)2/6) = 1/6
prob(your event) = 2/7 + 1/6 = 19/42
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