SOLUTION: There is an area of free (but illegal) parking near an inner-city sports arena. The probability that a car parked in this area will be ticketed by police is .35, that the car will

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Question 1129715: There is an area of free (but illegal) parking near an inner-city sports arena. The probability that a car parked in this area will be ticketed by police is .35, that the car will be vandalized is .15, and that it will be ticketed and vandalized is .10. Find the probability that a car parked in this area will be ticketed or vandalized.

Found 3 solutions by Boreal, MathTherapy, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
It is .35+.15-(.35*.15), which is double counting.
.50-0.0525=0.4475
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
There is an area of free (but illegal) parking near an inner-city sports arena. The probability that a car parked in this area will be ticketed by police is .35, that the car will be vandalized is .15, and that it will be ticketed and vandalized is .10. Find the probability that a car parked in this area will be ticketed or vandalized.
That person Boreal gives a lot of WRONG answers.

Let ticketed and vandalized be T and V, respectively

Then P(T or V) = P(T) + P(V) - P(T&V)

 

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
 .

The solution by the tutor @MathTherapy is correct !






    My congratulations to the student who will read this @MathTherapy solution,


    since he (or she) has a beautiful and rare opportunity to learn this basic formula of the Probability theory once and for all

    from the very vital case/example.







 

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