A taxi was involved in a hit-and-run accident at night. Two taxi companies, the green and the blue, operate in the city. 85% percent of the taxis are green and 15% are blue. A witness identified the taxi as blue.The witness identifies the correct color 80% of the time and fails 20% of the time. What is the probability that the taxi was blue?
closed as off-topic by f'', Fabich, Deusovi♦, 2012rcampion, manshu May 29 '16 at 19:46
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – f'', Fabich, Deusovi, 2012rcampion, manshu
the chance of it being blue and the witness being correct is 0.12. Or he saw blUE but it was green, which is a 0.17 chance. 0.12/(0.12+0.17)= 12/29.