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# Help...

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Jay owns a fleet of 30 shiny cars.

Each car has either standard transmission or automatic transmission
Each car is either black, white, or red
Each car is either a Toyota, Mercedes-Benz, Chevrolet, Pinto, or Citroen.

No two cars are the same for each of the three categories. (For example, no two cars have standard transmission, are white, and Toyotas.)

Two of the cars are chosen at random. What is the probability that the two cars differ in all three categories? (For example, a black Chevrolet with standard transmission is different in all three categories from a red Pinto with automatic transmission, but not from a black Mercedes-Benz with automatic transmission.)

Jan 25, 2020

#1
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i don't know if this answer is right.. but here you go:

https://web2.0calc.com/questions/help_50549

Jan 25, 2020
#2
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Guest Jan 28, 2020
#3
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Firstly

WHY DO YOU BELIEVE THE FIRST ANSWER TO BE WRONG.

i WILL ANSWER BUT  IF YOU BELIEVE IT IS WRONG I EXPECT YOU TO SAY WHY

If you think I have been yelling at you you would be right.

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Jay owns a fleet of 30 shiny cars.

Each car has either standard transmission or automatic transmission
Each car is either black, white, or red
Each car is either a Toyota, Mercedes-Benz, Chevrolet, Pinto, or Citroen.

No two cars are the same for each of the three categories. (For example, no two cars have standard transmission, are white, and Toyotas.)

Two of the cars are chosen at random. What is the probability that the two cars differ in all three categories? (For example, a black Chevrolet with standard transmission is different in all three categories from a red Pinto with automatic transmission, but not from a black Mercedes-Benz with automatic transmission.)

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There are 30 cars

Choose the first car.

Now there are 29 cars left.

15 of those have got a different transmition.

10 of those 15 have got a different colour

and

8 of those have got a different make.

so I think that answer is    8/29

Here is a little tree diagram I drew to help with my thought processes.

Jan 28, 2020