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Mia is taking art and calculus courses on Mondays. She is late for the art class...

Mia is taking art and calculus courses on Mondays. She is late for the art class with probability 0.5 and late for the calculus class with probability 0.4. Suppose the two events are independent. What is the probability that Mia is on time to exactly one of the classes?

Math   Statistics-And-Probability   
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Answer #1

Probability of mia being late to art class=P(A)=0.5
Probability of mia being late to Calculus class=P(C)=0.4

Probability of mia being on time to exactly one of the classes:
case 1: Mia is on time for art class but late for calculus class.

case 2: Mia is on time for calculus class but late for art class.

Total probability = case 1 +case 2=0.2+0.3=0.5

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