Probability of Finding 2 Adjacent Parking Spaces for a Chevrolet

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To determine the probability of finding two adjacent parking spaces for a Chevrolet in a lot with 10 spaces and 7 already occupied, first calculate the total combinations of available spaces. With 3 spaces left, identify the combinations that allow for two adjacent spaces. The key is to analyze how many configurations of the remaining spaces can accommodate two adjacent spots. The probability can then be derived from the ratio of favorable outcomes to total outcomes. This approach provides a clear method to solve the problem effectively.
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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

 
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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.
 
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