Compute At-least Probabilities
-Find the probability that of 25 randomly selected students, no two share the same birthday.
A) $0.431$
B) $0.995$
C) $0.569$
D) $0.068$

Question

Quizplus · Accepted Answer

The probability that no two of the 25 randomly selected students share the same birthday can be calculated using the formula for the probability of unique birthdays among n people: $P = \frac{365}{365} \times \frac{364}{365} \times \frac{363}{365} \times \cdots \times \frac{365 - n + 1}{365}$. For 25 students, this calculation simplifies to approximately 0.431, indicating that there's a 43.1% chance that all 25 students have unique birthdays.

Compute At-Least Probabilities -Find the Probability That of 25 Randomly 0.4310.4310.431

Compute At-Least Probabilities
-Find the Probability That of 25 Randomly $0.431$