Using Python Coding. Picture is included to clear all confusion.

Techniques used will be object$-$oriented programming, structured programming, top$-$down coding.

Produce tested code that executes correctly and consistently.

Include comments and explanations of the structures used in the program $($e$.$g$.$ Repetition, Decision, Lists etc.$)$ inside the program.

Debug program issues before submitting.

Be ready to explain ANY of the code you have used.

$***$

What is the probability in a room of $$n$$ people,

that at least two people will have the same birthday?

Probability works such that:

Probability $($something happens$)+$Probability $($somethingdoesn$\text{'}$ t happen$)=1,$ or $100\%$

It turns out that finding the probability of no matching birthdays is much easier to

determine than some possible matching birthdays.

For each person starting with n$=1,$ calculate $(365$n$+1$BIRTHRAX PROBLEM

What is the probability in a room of $"n"$ people,

that at least two people will have the same birthday?

Probability works such that:

Probability $($something happens$)+$Probability$($somethingdoesn$\text{'}$t happen$)=1,$ or $100\%$

It turns out that finding the probability of no matching birthdays is much easier to

determine than some possible matching birthdays.

For each person starting with $n=1,$ calculate $\frac{365-n+1}{365},$ then multiply the

result to the next person to calculate no one in a room having the same birthday.

Probability $(no$ matching birthdays $)=\frac{365}{365}\frac{364}{365}\frac{363}{365}$dots$\frac{365-n+1}{365},$

$n=1,2,3,$dots,$n$

where there is a term for each of the $"n"$ people.

Your task, is to write a program to calculate the probability that at least two

people DO share a birthday in the class right now. If your teacher has not already,

please remind them to write the number of people in the room right now.

In addition to submitting your code,

please also return this sheet with your answers written below.

$"$In this room of

people, the probability of

at least two people sharing

the same birthday is: $\%$

For a $50\%$ probability, the minimum

number of people needed is:$/365)$

$,$

then multiply the

result to the next person to calculate no one in a room having the same birthday.

Probability $($nomatching birthdays$)=365$

$365$

$\backslash$times $364$

$365$

$\backslash$times $363$

$365$

$\backslash$times $...365$n$+1$

$365$

$,$

where there is a term for each of the $$n$$ people.

Your task, is to write a program to calculate the probability that at least two

people DO share a birthday in the class right now. If your teacher has not already,

please remind them to write the number of people in the room right now.

In addition to submitting your code,

please also return this sheet with your answers written below.

$$In this room of $\_\_\_\_$

people, the probability of

at least two people sharing

the same birthday is: $\_\_\_\_\%$

For a $50\%$ probability, the minimum

number of people needed is: $\_\_\_\_$

n $=123...$ n

#People; Probability

n: $1$; Prob: $0\mathrm{.}0\%$

n: $2$; Prob: $0\mathrm{.}27\%$

n: $3$; Prob: $0\mathrm{.}82\%$

n: $4$; Prob: $1\mathrm{.}64\%$

n: $5$; Prob: $2\mathrm{.}71\%$

n: $6$; Prob: $4\mathrm{.}05\%$

n: $7$; Prob: $5\mathrm{.}62\%$

n: $8$; Prob: $7\mathrm{.}43\%$

n: $9$; Prob: $9\mathrm{.}46\%$

n: $10$; Prob: $11\mathrm{.}69\%$

n: $11$; Prob: $14\mathrm{.}11\%$

n: $12$; Prob: $16\mathrm{.}7\%$

n: $13$; Prob: $19\mathrm{.}44\%$

n: $14$; Prob: $22\mathrm{.}31\%$

n: $15$; Prob: $25\mathrm{.}29\%$

n: $16$; Prob: $28\mathrm{.}36\%$

n: $17$; Prob: $31\mathrm{.}5\%$

n: $18$; Prob: $34\mathrm{.}69\%$

n: $19$; Prob: $37\mathrm{.}91\%$

n: $20$; Prob: $41\mathrm{.}14\%$

n: $21$; Prob: $44\mathrm{.}37\%$

n: $22$; Prob: $47\mathrm{.}57\%$

n: $23$; Prob: $50\mathrm{.}73\%$

n: $24$; Prob: $53\mathrm{.}83\%$

n: $25$; Prob: $56\mathrm{.}87\%$

n: $26$; Prob: $59\mathrm{.}82\%$

n: $27$; Prob: $62\mathrm{.}69\%$

n: $28$; Prob: $65\mathrm{.}45\%$

n: $29$; Prob: $68\mathrm{.}1\%$

n: $30$; Prob: $70\mathrm{.}63\%$

n: $31$; Prob: $73\mathrm{.}05\%$

n: $32$; Prob: $75\mathrm{.}33\%$

n: $33$; Prob: $77\mathrm{.}5\%$

n: $34$; Prob: $79\mathrm{.}53\%$

n: $35$; Prob: $81\mathrm{.}44\%$

n: $36$; Prob: $83\mathrm{.}22\%$

n: $37$; Prob: $84\mathrm{.}87\%$

n: $38$; Prob: $86\mathrm{.}41\%$

n: $39$; Prob: $87\mathrm{.}82\%$

n: $40$; Prob: $89\mathrm{.}12\%$

n: $41$; Prob: $90\mathrm{.}32\%$

n: $42$; Prob: $91\mathrm{.}4\%$