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.

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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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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