8. There are one hundred tickets in a box, numbered from 1 to 100. Draw twice, with replacement.

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**Problem 8: Understanding Probability with Replacement**

In this exercise, you have a box containing one hundred tickets, each uniquely numbered from 1 to 100. The task is to draw two tickets, one after the other, with replacement.

**Key Concepts:**

- **Number of Tickets:** 100 tickets, each with a unique number.
- **Drawing with Replacement:** After drawing a ticket, it is replaced back into the box before drawing again. This means the total number of tickets remains the same for each draw.
- **Independent Events:** Each draw is independent of the previous one since the ticket is replaced.

**Exploration:**

When you draw with replacement, the probability of drawing a specific ticket on the first draw is \( \frac{1}{100} \). For the second draw, because the first ticket is replaced, the probability remains \( \frac{1}{100} \) for each ticket.

This concept is crucial in understanding events' independence in probability.
Transcribed Image Text:**Problem 8: Understanding Probability with Replacement** In this exercise, you have a box containing one hundred tickets, each uniquely numbered from 1 to 100. The task is to draw two tickets, one after the other, with replacement. **Key Concepts:** - **Number of Tickets:** 100 tickets, each with a unique number. - **Drawing with Replacement:** After drawing a ticket, it is replaced back into the box before drawing again. This means the total number of tickets remains the same for each draw. - **Independent Events:** Each draw is independent of the previous one since the ticket is replaced. **Exploration:** When you draw with replacement, the probability of drawing a specific ticket on the first draw is \( \frac{1}{100} \). For the second draw, because the first ticket is replaced, the probability remains \( \frac{1}{100} \) for each ticket. This concept is crucial in understanding events' independence in probability.
**a.** What is the probability that you draw first an even number.
Transcribed Image Text:**a.** What is the probability that you draw first an even number.
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