Question

The probability of meeting a random person who has the same birthday as you is 1/365 , which is approximately 0.27%. What is the probability that the 25th person you meet is the first person who has the same birthday as you?

Answer 1

Answer:

The required probability (P) is :

$P =(\frac{364}{365})^{24}\cdot \frac{1}{365}$

Step-by-step explanation:

Probability of meeting random person who has same birthday as you = $\frac{1}{365}$

Probability of meeting random person who do not has same birthday as you =

$1-\frac{1}{365}=\frac{364}{365}$

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,

$P =(\frac{364}{365})^{24}\cdot \frac{1}{365}$

Answer 2

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% :)