A dealership sells cars in blue, white, black, and green. if three successive orders of that car is placed, what is the probability that I will get a blue one, a white one, and a green one.
how do u get the answer. do you use one of the counting techniques or what.
2006-09-04 19:11:40 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It's
blue white green; blue green white
white blue green; white green blue
green blue white; green white blue
There are six ways to get a blue one, a white one, and a green one. So the probability is 6/64 = 3/32.
2006-09-04 19:48:04 · answer #1 · answered by bpiguy 7 · 0⤊ 0⤋
Answer: 6/64
Total possible combinations = 4*4*4
Total possible cases = 3P3 or 3! ways = 6ways
So, Probability = 6/64
If the question had been mentioned that there where only 4 cars, one of each colour.Then answer would be 1/4
PROOF:-
The first car can be any one among our subset of blue,white and green cars
Probability of this=3/4
The next car needs to be any one of the remaining two from our subset. Probability for this = 2/3
The last car should be the remaining car from our subset. Probality of this= 1/2
Moreover, these events are independent. Therfore total probability is product of these= 3/4 * 2/3 * 1/2 = 1/4
METHOD 2:-
We can select 3 cars from a set of 4 in 4C3 ways = 4
i.e consider we have 4 cars A,B,C,D
Then the different combinations are ABC, ACD, BCD and BAD
So, the probability of getting one desired combination = 1/4
2006-09-04 21:24:46 · answer #2 · answered by Truth Seeker 3 · 1⤊ 0⤋
first you need to define the Pblue, P white, Pgreen, P black - which is a statistic of percentage of sales of each color, sum of Ps should be one.
assuming that the sale of the 1st,2nd,3rd car etc. are independent , and probabilities don't change because a sale of a specific color was made, the probability of a certain sequence of sales occurring is the multiplication of the relevant probabilities.
2006-09-04 19:29:27 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Yep, 1/64, UNLESS there is only ONE blue, one red, etc....then it would be a bit different. If there is only ONE of each color then it would be 1/4*1/3*1/2 = 0.041666667 or 1/24
2006-09-04 19:21:12 · answer #4 · answered by SweetznTX 2 · 0⤊ 1⤋
1:64
2006-09-04 19:21:41 · answer #5 · answered by jlaniwan 2 · 0⤊ 1⤋
3 independent events
1/4*1/4*1/4 = 1/64
EDIT: bpiguy below is correct if the order of sales does not matter
2006-09-04 19:15:36 · answer #6 · answered by Anonymous · 0⤊ 1⤋
You will get the color you asked for or dont pay em for it . No math to it lol.
2006-09-04 19:15:42 · answer #7 · answered by Anonymous · 0⤊ 1⤋