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Andrei [34K]
2 years ago
13

The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art c

lass is 0.20. Giver that a student is a girl, what is the probability she is in an art class?
0.20
0.32
0.38
0.52
Mathematics
1 answer:
DaniilM [7]2 years ago
4 0

Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

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Answer:

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Step-by-step explanation:

We are given;

P(car is blue) = 1% = 0.01

P(car is green) = 99% = 0.99

P(witness said blue | car is blue) = 99% = 0.99

P(witness said blue | car is green) = 2% = 0.02

We will solve this by using Bayes’ formula for inverting conditional probabilities:

Thus;

P(car is blue | witness said blue) =

[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]

Plugging in the relevant values gives;

(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333

Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%

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