Find the indicated probability
-Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years.
A)0.3333
B)0.00000751
C)0.00000002
D)0.0082

Question

Quizplus · Accepted Answer

The probability that 3 randomly selected people all have the same birthday, ignoring leap years, is calculated by considering that the first person can have any birthday, the second person must have the same birthday as the first (1/365 chance), and the third must also match (1/365 chance). Thus, the probability is $1 \times \frac{1}{365} \times \frac{1}{365} = \frac{1}{365^2} \approx 0.00000751$.

Find the Indicated Probability