SOLUTION: Three boxess contain marbles, first box, 3 red and 5 blue. second box, 2 red and 4 yellow. third box, 4 red and 2 blue. a) Find the probability that a person selected a red ma

Algebra ->  Probability-and-statistics -> SOLUTION: Three boxess contain marbles, first box, 3 red and 5 blue. second box, 2 red and 4 yellow. third box, 4 red and 2 blue. a) Find the probability that a person selected a red ma      Log On


   



Question 369966: Three boxess contain marbles,
first box, 3 red and 5 blue.
second box, 2 red and 4 yellow.
third box, 4 red and 2 blue.
a) Find the probability that a person selected a red marble.
b) Find the probability that a person selected a red marble, given that the person did not select the third box.
Thank you for your time and help. I really appreciate it.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(a) P(red) = P(red AND b1) + P(red AND b2) + P(red AND b3)
=P(red|b1)*P(b1) + P(red|b2)*P(b2)+P(red|b3)*P(b3)
=, assuming each box is equally likely to be chosen.
(b) P(red|~b3) = %283%2F8%29%2A%281%2F2%29%2B%282%2F6%29%2A%281%2F2%29+=+17%2F48