SOLUTION: Carmen is participating in an online contest to win a car.She is given a choice of three doors.Each door leads to another level with three doors,and each of those leads to another

Question 1002860: Carmen is participating in an online contest to win a car.She is given a choice of three doors.Each door leads to another level with three doors,and each of those leads to another level with three doors.Behind one of those final doors is the grand prize of a new car.What is the probability of winning the car if she chooses doors at random?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
1/3 of the time she will pick the right first door.
1/3 of the time she will pick the right second door.
1/3 of the time she will pick the right third door.

her probability of winning is therefore 1/3 * 1/3 * 1/3 = 1/27.

look at it another way.

the number of possible choices is 3 * 3 * 3 = 27

only one of those choices will be the correct choice.

her probability of winning is therefore 1/27.

RELATED QUESTIONS
Hi guys, I'm really stuck and need some help or a hint at least please. Thanks in... (answered by Edwin McCravy)

On a TV game show, the contestant is asked to select a door and then is rewarded with... (answered by stanbon)

On a TV game show, the contestant is asked to select a door and then is rewarded with... (answered by robertb)

To enter a very private garden you need to go through four doors. At each door you must... (answered by stanbon)

In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants... (answered by stanbon)

There are 4 shut doors in front of you. You know that each door has an animal painted on... (answered by richwmiller)

do when a carnival prize you need to choose one of three doors labeled 1 through 3 then... (answered by Boreal)

Four women�s college basketball teams are participating in a single-elimination holiday... (answered by Boreal)