Wolfram Function Repository
Instantuse addon functions for the Wolfram Language
Function Repository Resource:
Compute the probabilities and statistics associated with tossing a coin
ResourceFunction["IdealCoinTossStatistics"][n] computes probabilities and statistics associated with tossing n fair coins.  
ResourceFunction["IdealCoinTossStatistics"][n,h] computes probabilities and statistics associated with tossing n fair coins, of which h are heads.  
ResourceFunction["IdealCoinTossStatistics"][{n,w}] computes probabilities and statistics associated with tossing n coins having a probability of heads w.  
ResourceFunction["IdealCoinTossStatistics"][{n,w},h] computes probabilities and statistics associated with tossing n coins, of which h are heads.  
ResourceFunction["IdealCoinTossStatistics"][…,prop] returns property prop for the coin toss. 
All  default method that returns probabilities and statistics associated with tossing coins 
"ProbabilityAllHeads"  probability that all coins tossed display heads 
"ProbabilityAllTails"  probability that all coins tossed display tails 
"ProbabilityHalfHeads"  probability that Floor[n/2] tossed coins display heads 
"ProbabilityAtLeastOneHeads"  probability that at least one tossed coin displays heads 
"ProbabilityAtLeastOneTails"  probability that at least one tossed coin displays tails 
"ProbabilitySetNumberHeads"  formula for the probability of tossing a given number of heads 
"ExpectedNumberHeads"  expected value of the number of heads 
"PDFPlot"  plot of the normal approximation probability density function 
"CDFPlot"  plot of the normal approximation cumulative density function 
"PercentHeads  percent heads in the given number of coin tosses 
"PercentTails"  percent tails in the given number of coin tosses 
"ProbabilityGivenOrFewerHeads"  probability that the number of heads displayed is at most the given number 
"ProbabilityMoreThanGivenHeads"  probability that the number of heads displayed is more than the given number 
"ProbabilityGivenOrMoreHeads"  probability that the number of heads displayed is at least the given number 
"ProbabilityFewerThanGivenHeads"  probability that the number of heads displayed is fewer than the given number 
Compute the probability and associated statistics of tossing 5 fair coins:
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Compute the probability and associated statistics of tossing 5 unfair coins:
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Return only the probability density function plot:
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Compute the probability and associated statistics of tossing 5 unfair coins, of which 3 are heads:
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