Probability of Ordering Blue, White, and Green Cars | Homework Question Help

[Iyafrady]

I need help with this homework question:
The colors blue,white,black, and green are in equal demand for a type of car.Three succesive orders are placed for this type of car.Find the probability of the following events.
a)one blue,one white, and one green are ordered.

 

[EnumaElish]

You should post under the HW section, and indicate your attempt to solve it.

 

[Iyafrady]

if anyone could just help me get started I am shure i could figure it out.Ive tried several techniqies with no succes, the answer in the book is .09375

 

[EnumaElish]

What techniques did you try?

 

[Iyafrady]

i tried to find the probability that a black wasnt ordered and subtract that from 1 but i didnt get the right answer.I also tried doing a calculation were you find the "runs" of an event but that also failed.Aswell as other techniques i can't remember.

 

[EnumaElish]

i tried to find the probability that a black wasnt ordered and subtract that from 1 but i didnt get the right answer.I also tried doing a calculation were you find the "runs" of an event but that also failed.Aswell as other techniques i can't remember.

How many different 3-combinations of 4 colors are there?

 

[Iyafrady]

ok there are 24 distinct 3-combinations, and that would be the denominator??What about the numerator?maybe I've been lookaing at this problem too long..:-(

 

[EnumaElish]

For the denominator, you should allow for repetitions:

all black = {B, B, B, B} or all blue = {b, b, b, b} or 2 white, 2 green = {w, w, g, g} = {w, g, w, g} = {w, g, g, w} = etc...