Probability of Finding 2 Adjacent Parking Spaces for a Chevrolet

[rayukpant]

Homework Statement

There are 10 adjacent parking places in the parking lot. When you arrive in your new Chevrolet , there are already 7 cars in the lot. What is the probability that you can find two adjacent unoccupied spaces for your Chevrolet?

Homework Equations

The Attempt at a Solution

 

[gb7nash]

What have you tried?

 

[uart]

Posting just the one question instead of your whole assignment is an improvement, but you're still supposed to show that you've made some effort yourself. See: https://www.physicsforums.com/showthread.php?t=531087

First you need to find the total number of combinations having three available spaces out of ten. (the easy part).

Then you need to find all the combinations of ways that you can have two adjacent spaces when there are three (of 10) spaces available.