T computes and posters the probabilities of two people

Reference no: EM13168014

Write a C program that computes and posters the probabilities of two people in a group who are born in the same day. The probability of two people being born in the same day of the year, for a group of npeople, is given by the following formula:

P (n) = 1 - 365/365 x 364/365 x 363/365 x ... x (365-n+1)/365

Thus, if n=1, p (1) = 1- 365/365 = 0

If n=2, p (2) = 1- 365/365 x 364/365 = 0.002740; about 0.27%

If n=3, p (3) = 1- 365/365 x 364/365 x 363/365 = 0.008204; about 0.82%

Etc.

Your program must compute the probabilities of the 10 groups of 4, 8, 12, ...40 people and must print the results according to the following presentation :

Probability of 2 identical birthdays in a group of 4 people : 1.64%

Probability of 2 identical birthdays in a group of 8 people : 7.43%

...

Probability of 2 identical birthdays in a group of 40 people : 89.12%

Remarks:

-There is no reading of data to perform. The printing of the probability is expressed as a percentage with the specification of the conversion %5.2lf.To avoid any overflow capacity, use the type double in your calculations.

-You must use some comments such as:

Description of the program (author, purpose)

Description of the constants and/or the variables

-Your program must use the instruction for to compute the probabilities

Reference no: EM13168014

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