Manuals/calci/BIRTHDAYPROBABILITY

BIRTHDAYPROBABILITY (NumberOfDuplicates,TotalNumberOfDays)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle NumberOfDuplicates} is any real number.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle TotalNumberOfDays} is the number of days.

Description

• This function shows the value of the Birthday probability.
• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BIRTHDAYPROBABILITY (NumberOfDuplicates,TotalNumberOfDays)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number of Duplicates} is the additional number of birthday.
• $TotalNumberofDays$ is the number of days.
• Birthday probability is the sum of the probability that an event will happen and the probability that the event won't happen is always 1.
• In a room of 75 there is a 99.9% chance of two people birthday matching.
• To work out the probability there is no two people will have the same birthday,the following rules to be followed to find the probability that two people will share a birthday:

 P(two people share birthday) + P(no two people share birthday) = 1
 P(two people share birthday) = 1 - P(no two people share birthday).

Examples

1. BIRTHDAYPROBABILITY(3,30) = 0.1384203445582639
2. BIRTHDAYPROBABILITY(20,432) = 0.3686145731391096
3. BIRTHDAYPROBABILITY(30.3,765) = 0.44899395029084743

See Also

• GENERATESUDOKU
• MAGICSQUARE

References

• Birthday Probability

• List of Main Z Functions

• Z3 home