Posts Tagged ‘ Probability ’

Counterintuitive Results in Flipping Coins

August 28, 2009
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Counterintuitive Results in Flipping Coins

oin-flipping is a rather old topic in probability theory, so most of us think we know very well about it, however, the other day I saw a question about this old topic (in David Smith’s REvolution?) which was beyond me expectation: how many times do we need to flip the coin until we get a

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Probability exercise: negative binomial distribution

July 19, 2009
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Probability exercise: negative binomial distribution

What is the probability you get the 4th cross before the 3rd head, flipping a coin?The mathematical formula for solving this exercise, which follows a negative binomial distribution, is:$$f(x)=P(X=x)=\begin{pmatrix} x+y-1\\ y-1 \end{pmatrix} \cdot p^x ...

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A probability exercise on the Bernoulli distribution

July 18, 2009
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A probability exercise on the Bernoulli distribution

What is the probability, flipping a coin 8 times, to obtain the sequence HHTTTHTT? (H = head; T= tail)The theory teaches us that to solve this question, we can simply use the following formula:$$f(x)=P(X=x)=B(n,p)=\begin{pmatrix}n\\ x \end{pmatrix} \cd...

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