1. Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?

2. Xerxes, Murray, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?

4. Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

6. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.14. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.16. The is the probability that they will either score a touchdown on the opening drive or have3 or more sacks in the game is 0.28. What is the probability that the Bucs will score a touchdown on their first drive?

7. Given P(E or F) = 0.16, P(E) = 0.37, and P(F) = 0.37, what is P(E and F)?

8. Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

9. Given P(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81 are events A and B independent or dependent?

10. Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

11. Given P(A) = 0.22, P(B) = 0.26, and P(B|A) = 0.26, are A and B independent or dependent?

12. Given P(A and B) = 0.34, P(A) = 0.94, and P(B) = 0.36 are events A and B independent or dependent?