7 BIRTHDAY MATCH

Where N = Number of Students in a Class

# N Number of Students in Class

N = 35

mul1 = 1

for x in range(365-N+1,366):

    mul1 = mul1 * x

base = 365

exponent = N

mul2 = pow(base, exponent)

print('Probability of any two share same birthday:',1-(mul1/mul2))

If N=35 then output:

Probability of any two share same birthday: 0.8143832388747152

If N=23 then output:

Probability of any two share same birthday: 0.5072972343239854

If N=40 then output:

Probability of any two share same birthday: 0.891231809817949