Title: Probability and Independence of Events with Dice---**Activity: Analyzing Probability with Two Six-Sided Fair Dice**You are rolling two six-sided fair dice. Follow the instructions to determine the probabilities and relationships between two events.**Events:**- **Event A:** The event that the first die is even. - **Event B:** The event that the sum of the two dice is 7.**Questions:**a. Calculate the probability of Event A: - $ P(A) = $ ________ - Round your answer to four decimal places.b. Calculate the probability of Event B: - $ P(B) = $ ________ - Round your answer to four decimal places.c. Are Events A and B mutually exclusive? - Options: - No, they are not Mutually Exclusive - Yes, they are Mutually Exclusived. Are Events A and B independent? - Options: - They are Independent events - They are not Independent events**Hint:** For additional help, refer to the [Mutually Exclusive Video on Probability](#).---Note: For detailed calculations, consider all possible outcomes when rolling two dice, and apply the principles of probability to determine the specific probabilities required.

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

You roll two six-sided fair dice. a. Let A be the event that the first die is even and the second is a 2, 3, 4 or 5. P(A) = Round your answer to four decimal places. %3D b. Let B be the event that the sum of the two dice is a 7.

You roll two six-sided fair dice. a. Let A be the event that the first die is even and the second is a 2, 3, 4 or 5. P(A) = Round your answer to four decimal places. %3D b. Let B be the event that the sum of the two dice is a 7.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Title: Probability and Independence of Events with Dice

---

**Activity: Analyzing Probability with Two Six-Sided Fair Dice**

You are rolling two six-sided fair dice. Follow the instructions to determine the probabilities and relationships between two events.

**Events:**

- **Event A:** The event that the first die is even.
- **Event B:** The event that the sum of the two dice is 7.

**Questions:**

a. Calculate the probability of Event A:

- $ P(A) = $ ________
- Round your answer to four decimal places.

b. Calculate the probability of Event B:

- $ P(B) = $ ________
- Round your answer to four decimal places.

c. Are Events A and B mutually exclusive?

- Options:
- No, they are not Mutually Exclusive
- Yes, they are Mutually Exclusive

d. Are Events A and B independent?

- Options:
- They are Independent events
- They are not Independent events

**Hint:** For additional help, refer to the [Mutually Exclusive Video on Probability](#).

---

Note: For detailed calculations, consider all possible outcomes when rolling two dice, and apply the principles of probability to determine the specific probabilities required.

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