MHB What is the expected value of attempting a field goal?

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The discussion centers on calculating the expected value of attempting a field goal in football. The probability of scoring a field goal is 90%, while the chance of missing is 10%. The expected value is determined by multiplying the points awarded for a successful field goal (3 points) by the probability of success, resulting in an expected value of 2.7 points. The probability of scoring a touchdown is considered irrelevant to this specific calculation. Understanding these probabilities is crucial for evaluating the decision-making process in football strategy.
Coder74
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Hello everyone!
I'm confused because 90% and 35% obviously do not add up to 100%
and as a result I'm really flustered! :C I appreciate the help and efforts of everyone on this website! :D
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Coder74 said:
Hello everyone!
I'm confused because 90% and 35% obviously do not add up to 100%
and as a result I'm really flustered! :C I appreciate the help and efforts of everyone on this website! :D

Hi Coder74!

Indeed, those do not add up to 100%.
I can only assume we have 90% chance to score a field goal and 10% chance to score nothing at all.
... unless we set our objective to a touchdown...
 
The question is "find the expected value of a field goal" (I would have said "the expected value of attempting a field goal") which means the probability of a touch down is irrelevant. A field goal has value 3 points and the probability of success is 0.9 so the "expected value" of attempting a field goal is (3)(0.9)= 2.7 points.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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