Question

The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their cars.

	Speeding Ticket	No Speeding Ticket	Total
Red Car	156	113	269
Not Red Car	172	82	254
Total	328	195	523

Find the probability that a randomly chosen person:

a) Has a red car.  

b) Has a speeding ticket.  

c) Has a speeding ticket given they have a red car.  

d) Has a red car given they have a speeding ticket.  

e) Has a red car and got a speeding ticket.  

f) Has a red car or got a speeding ticket.  

Write your answers in decimal form, rounded to the nearest thousandth.

Add Work

Answer 1

a) P(Red Car) = 269/523 = 0.514

b) P(Speeding Ticket) = 328/523 = 0.627

c)P(Speeding Ticket | Red Car) = P(Speeding Ticket and Red Car)/P(Red Car) = 156/269 =0.579

d)P(Red Car | Speeding Ticket) = P(Speeding Ticket and Red Car)/P(Speeding Ticket) = 156/328 =0.475

e)P(Red Car and Speeding Ticket) = 156/523 = 0.298

f)P(Red Car or Speeding Ticket) = P(Red Car) + P(Speeding Ticket) - P(Red Car and Speeding Ticket)

=(269+328-156)/523 =441/523 = 0.843

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