Brain Food: Three Consultants
Three consultants are in a room. What’s the probability that at least two of them have the same birthday?
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About 0.82%. The total number of ways the three birthdays could be arranged is 365×364×363365×364×363. The number of ways they could all be different is 365×364×363365×364×363. Thus, the probability is 1−365×364×363365×364×363=0.00821−365×364×363365×364×363=0.0082.