The speeds and colours of 19001900 passenger cars passing a speed camera are recorded. Colours are recorded as being red, white or other. 30% are white and 45% are colours other than red or white. There are 300300 cars which are speeding and 7575 which are red and not speeding.What is the probability that a randomly selected car is speeding?%What is the probability a randomly selected car has red color and is speeding? %
Question
The speeds and colours of 19001900 passenger cars passing a speed camera are recorded. Colours are recorded as being red, white or other. 30% are white and 45% are colours other than red or white. There are 300300 cars which are speeding and 7575 which are red and not speeding.What is the probability that a randomly selected car is speeding?%What is the probability a randomly selected car has red color and is speeding? %
Solution
First, let's calculate the total number of cars. The problem states that 30% are white, 45% are other colors, and the remaining are red. So, the total number of cars is 1900.
- The probability that a randomly selected car is speeding:
The problem states that there are 300 cars which are speeding. So, the probability that a randomly selected car is speeding is the number of speeding cars divided by the total number of cars.
Probability = Number of Speeding Cars / Total Number of Cars Probability = 300 / 1900 = 0.1579 or 15.79%
- The probability a randomly selected car has red
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