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

  1. [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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