You are a witness of a night-time hit-and-run accident involving a taxi in Dhaka. All taxis in Dhaka are either black or red, with 9 out of 10 Bangladeshi taxis being red. You perceived the taxi as black. Extensive testing shows that under the dim lighting conditions, discrimination between black and red is 25% reliable (i.e. in 25% of the cases, you see black (or red) when the car is actually black (or red)).
Compute the probability that the taxi is black given your observation.
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