There are three possibile ways they can all select the same wheel,

1. All select the front wheel.
2. All select the left rear wheel.
3. All select the right rear wheel.

So the numerator of the probability (the number of successful ways) is 3.

There are 3 ways Tom can selecet a wheel.  For each of those 3 ways that Tom
can select a wheel, there are 3 ways that Dick can select a wheel. That's
3×3 or 9 ways Tom and Dick can select wheels.  For each of those 3×3 or 9 ways
Tom and Dick can select wheels, there are 3 ways Harry can select a wheel,
That's 3×3×3 or 9×3 or 27 ways Tom, Dick, and Harry can select wheels.

Answer: 3 ways out of 27. "Out of" in probability means "over". So the answer
is  which reduces to 

Edwin

 

Hi,

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = 1/3 & q = 2/3

nCx = 

P(x = 3) =  

RELATED QUESTIONS

A manager of a pizza parlor (which operates 7 days a week) allows each of 3 employees to... (answered by Fombitz)

A group of people composed of 6 men and 3 women is to randomly select a 
committee of 3... (answered by edjones)

a group of 34 people contains 24 woman and 10 men. a committee of 6 is to be randomly... (answered by ewatrrr)

How do you solve: 

The manager of a pizza parlor (which operates seven days a week)... (answered by edjones)

How do you solve:

The manager of a pizza parlor (which operates 7 days a week) allows... (answered by edjones)

From a group of 7 people, you randomly select 3 of them.

What is the probability that... (answered by josmiceli,ikleyn)

From a group of 11 people, you randomly select 4 of them.  What is the probability that... (answered by ikleyn)

A restaurant is open 7 days a week. 3 employees get to select 1 day off next week... (answered by Edwin McCravy)

34% of people in the US have type A+ blood.  You randomly select 73 people in the US and... (answered by stanbon)