Suppose that Blue Cab operates 16% of the taxis in a certain city and Green Cab operates the other 84%. After a night-time hit-and-run accio blue. Suppose, though, that under night vision conditions, only 70% of individuals can correctly distinguish between a blue and a green vehic (Hint: A tree diagram might help.) Step 1 To find the conditional probability that the taxi at fault was blue, refer to the formula below. P(blue |identified as blue) _ P(blue taxi is identified as blue) P(identified as blue) To make these probabilities easier to visualize, complete the tree diagram below. Tree Diagram Description identified as blue P(blue and identified as blue) = 0.16(0.7) 0.7 =1 Blue 0.16 identified as green P(blue and identified as green) = 0.16(0.3) 0.3 2 Identified as blue Green P(green and identified as blue) = 0.84(0.3) 0.3 0.84 3 identified as green P(green and Identified as green) = 0.84(0.7)