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Savita and Hamida are friends. Ignoring leap year, what is the probability that they have the same birthday?

A$\frac{1}{364}$
B$\frac{1}{365}$
C$\frac{364}{365}$
D$\frac{2}{365}$
Answer & Solution
Correct answer: B. $\frac{1}{365}$
Fix Savita's birthday on any day. Hamida can have any of 365 equally likely birthdays, and only 1 of these matches Savita's. So the probability of the same birthday is $\frac{1}{365}$.
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