122 Section 7.6: Problem 3
(10 points) Let Rā, Rā, and Rā be three disjoint events. If Q is an event such that
P(Rā) = 0.16, P(Rā) = 0.29, P(Rā) = 0.55, P(Q|Rā) = 0.38, P(Q|Rā) = 0.32, and P(Q|Rā) = 0.43,
then
P(Rā|Q) =
P(Rā|Q) =
P(Rā|Q) =
(Hint: Draw a tree diagram first. Enter each of your answers to 3 decimal places.)