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[16 marks] ( Lecture 4 ) Consider we toss a standard die. Define the following two events: A = {Toss an even number} and B

[16 marks] (Lecture 4) Consider we toss a standard die. Define the following two events: A = {Toss an even number} and B = {Toss a number greater than or equal to 4}.
1. Calculate the probability ofA and B
2. Calculate the probability ofand
3. AreAand Bmutually exclusive? Why?
4. Calculate the probability of.
5. Calculate the probability ofAB.
6. Calculate(B|A).
7. AreAand B independent? Why?
8. What is the relation between(B) and() +P(?

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