Calulate chance to get x heads in y flips

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To calculate the probability of getting x heads in y flips of a fair coin, the formula used is y choose x divided by 2 raised to the power of y. For example, the probability of getting 10 heads in 5 flips is calculated as 0.3125. This confirms that the formula is applicable when x is less than or equal to y. The discussion emphasizes the correct application of the formula for determining probabilities in coin flips. Understanding this concept is essential for solving related probability problems.
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Homework Statement



So if I wanted to get the chance to get x heads in y flips (x <= y)
I use y choose x / 2^y right?

Homework Equations





The Attempt at a Solution

 
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For a fair coin, yes.
 
So the chance of getting 10 heads with 5 flips is 0.3125? ;-)
 
skeptic2 said:
So the chance of getting 10 heads with 5 flips is 0.3125? ;-)
See below.
zeion said:
So if I wanted to get the chance to get x heads in y flips (x <= y)[/color]
I use y choose x / 2^y right?
 
I win.
 

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