Find the probability that a randomly chosen person: a) Has a red car. b) Has a s

Question

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.

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 151 142 293 Not Red Car 177 84 261 Total 328 226 554

Explanation / Answer

a) P(Red car) = 293/554 = 0.529

b) P(Speeding ticket) = 328/554 = 0.592

c) P(Speeding ticket | Red car) = 151/293 = 0.515

d) P(Red car | Speeding ticket) = 151/328 = 0.460

e) P(Red car and speeding ticket) = 151/554 = 0.273

f) P(Red car or speeding ticket) = 1 - P(None) = 1 - 84/554 = 0.848

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