Answer:
The required probability (P) is :
[tex]P =(\frac{364}{365})^{24}\cdot \frac{1}{365}[/tex]
Step-by-step explanation:
Probability of meeting random person who has same birthday as you = [tex]\frac{1}{365}[/tex]
Probability of meeting random person who do not has same birthday as you =
[tex]1-\frac{1}{365}=\frac{364}{365}[/tex]
Now, to find the required probability that the 25th person you meet is the first person who has the same birthday as you = (Probability that the first 24 persons we meet did not have same birthday as you) × (Probability that the first 25 persons we meet has same birthday as you)
Therefore,
[tex]P =(\frac{364}{365})^{24}\cdot \frac{1}{365}[/tex]
Answer: 1. A) 0.14
2. C) 46%
3. D) 86%
4. B) 0.513
5. A) 0.003
6. C) 0.069
7. C) 0.25%
8. D) 0.03
9. C) 71%
10. A) 10%
Step-by-step explanation: 100% :)
