# A taxi was involved in a hit-and-run accident last night [closed]

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?

• Since your answer is wrong, perhaps you're not the best judge of where the post belongs. – BobRodes May 29 '16 at 18:20
• What about mine? – ev3commander May 29 '16 at 18:21
• @BobRodes, my mistake. I didn't realise there was more to it. – Beastly Gerbil May 29 '16 at 18:23
• As someone who did get the correct answer (before looking at the submitted ones), I’m not at all sure why this is in puzzling rather than just math.stackexchange. It seems like a straightforward probability exercise dressed up in a word problem, and with several important assumptions (e.g. that the witness’s chance of correctness is independent of the colour of the taxi) omitted. There’s no particular imagination or insight involved. – Peter LeFanu Lumsdaine May 29 '16 at 18:32
• @BobRodes it is completely normal to make mistakes when you join a new forum, everyone does. But when other, more experienced users tell you you are wrong, you don't need to become hostile. This indeed is place for having fun, but in order to improve the experience, we try to stick to some posting rules. – Puzzle Prime May 30 '16 at 1:25