A crime has occured in Carborough, involving a taxi. The police interviewed an eyewitness, who stated that the taxi involved was blue.

The police know that 85% of taxis in Carborough are blue, the other 15% being green. They also know that statistically witnesses in these situations tend to be correct 80% of the time - which means they report things wrong the other 20% of the time.

What is the probability that the taxi involved in the crime was actually blue?

The probability of a car being blue is .85. The probability of the witness being right is .8. Taking both these to consideration and by multiplying them we get that the probability is 0.68.

Posted by Dulanjana on 2002-05-28 01:14:58