Probability of Finding 2 Adjacent Parking Spaces for a Chevrolet

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In summary, the problem asks for the probability of finding two adjacent unoccupied spaces for a new Chevrolet in a parking lot with 10 adjacent parking places and 7 cars already present.
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rayukpant
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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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  • #2
What have you tried?
 
  • #3
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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1. What is the probability of finding 2 adjacent parking spaces for a Chevrolet?

The probability of finding 2 adjacent parking spaces for a Chevrolet depends on various factors such as the size of the parking lot, the number of Chevrolet cars present in the lot, and the availability of parking spaces. It is difficult to determine an exact probability without more information.

2. Is there a higher chance of finding 2 adjacent parking spaces for a Chevrolet in a larger parking lot?

Generally, a larger parking lot will have more parking spaces available, increasing the chances of finding 2 adjacent spaces for a Chevrolet. However, this also depends on the number of Chevrolet cars present in the lot and other factors such as reserved spots and handicapped parking.

3. Does the time of day affect the probability of finding 2 adjacent parking spaces for a Chevrolet?

The time of day can certainly affect the probability of finding 2 adjacent parking spaces for a Chevrolet. During peak hours, such as rush hour or busy shopping times, the chances may be lower due to increased traffic and competition for parking spots. However, during off-peak hours, the chances may be higher as there are typically fewer cars in the lot.

4. Are there any strategies that can increase the probability of finding 2 adjacent parking spaces for a Chevrolet?

One strategy to increase the probability of finding 2 adjacent parking spaces for a Chevrolet is to arrive at the parking lot early. This will give you a better chance of securing a spot before it gets too crowded. Additionally, you can look for spots near the edges of the lot, as these are often less popular and may have more adjacent spaces available.

5. Is there a way to calculate the exact probability of finding 2 adjacent parking spaces for a Chevrolet in a specific parking lot?

Yes, it is possible to calculate the exact probability of finding 2 adjacent parking spaces for a Chevrolet in a specific parking lot. This would require knowing the total number of parking spaces, the number of Chevrolet cars present, and any other relevant information such as reserved spots or handicapped parking. With this information, a mathematical formula can be used to calculate the probability.

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