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If 15 percent of cars are blue and an observer's observation is 80 percent accurate, what is the probability that a car is, in fact, blue when the witness reports it as blue

Respuesta :

MrRoyal

The probability that a car is blue is the likelihood of the car being blue

The probability that a car is, in fact, blue when the witness reports it as blue is 12%

How to determine the probability?

The given parameters are:

P(Blue) = 15%

P(Accurate) = 80%

The probability that a car is blue, and the observation is accurate is calculated as:

P(Blue and Accurate) = P(Blue) * P(Accurate)

This gives

P(Blue and Accurate) = 15% * 80%

Evaluate the product

P(Blue and Accurate) = 12%

Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%

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