SOLUTION: For a certain style of new vehicle, the colors blue, white, black, and green are in equal demand. Three successive orders are placed for vehicles; the orders are placed independent

Algebra ->  Probability-and-statistics -> SOLUTION: For a certain style of new vehicle, the colors blue, white, black, and green are in equal demand. Three successive orders are placed for vehicles; the orders are placed independent      Log On


   



Question 1020184: For a certain style of new vehicle, the colors blue, white, black, and green are in equal demand. Three successive orders are placed for vehicles; the orders are placed independently. Find the probability that exactly two of the orders are for the same color.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes, there are 64 of them.
Let's look at all the outcomes starting with blue (B),
BBB BBW BBK BBG
BWB BWW BWK BWG
BKB BKW BKK BKG
BGB BGW BGK BGG
Of those 8 have exactly 2 matches.
So for all four starting colors, there would be 4%2A8=32
So the probability is,
P=32%2F64=1%2F2