Last tie in 100 coin tosses

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Description

Toss a coin 100 times and keep a running count of the number of heads and the number of tails. Record the times when the number is tied and report the last one. The distribution will have an approximate “arc-sine” law or well-shaped distribution.

Usage

1

Format

200 numbers between 0 and 100 indicating when the last tie was.

Details

This data comes from simulating the commands: x = cumsum(sample(c(-1,1),100,replace=T))

and then finding the last tie with

last.tie[i]<-max(0,max(which(!sign(x) == sign(x[length(x)])))).

Examples

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