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"Sam, what do you mean 1 in 276? How did you get that number..

"Sam, what do you mean 1 in 276? How did you get that number?"

Man I was hopping no one asked... I was very bad at statistics.

(Although I got the hiighest grade on differential Calculus, which I have NEVER used because I'm not a fucking teleco engineer)

Anyway:

Step 1: Total possible pairs of numbers

The total number of unique pairs of numbers that can be chosen from 24 numbers is calculated using the combination formula:

Number of pairs=(2 24)=(24*23)/2=276 -- Given that you cannot choose "13" twice, for example

Step 2: Probability of choosing the same pair

Both you and the other person can independently choose any of these 276 pairs. Since the choices are independent, the probability that both of you choose the exact same pair is:

P=1/276

Final Answer:

The probability that you and the other person choose the same two numbers is 1 in 276 or, approximately, 0.36%

I'm bored, sorry hehehe

Please, correct me if I'm wrong!

"Sam, what do you mean 1 in 276? How did you get that number..

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