One Time Pad

Ek(m) = c0 c1 … Cn-1
m = ‘CS’ = 1010011 1000011
k = 11001000100110
c = 01101111100101

Proving Security
here is a mathematical proof, accepted by experts, that shows the cipher is secure.

Probability(Review)
Ω:set of all possible outcomes
probability space
Ω = {h, t}
uniform distribution each outcome is equally likely
p: outcome -> [0, 1]
p(h) = 1/2 p(t) = 1/2
Ω = {H, T, E}
p(h) = 0.49999
p(t) = 0.49999
ΣweΩ p(w) = 1