Assignment:
List the sample space of choosing a ball from a bag containing 2 red balls and 3 black balls.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
If we know that P(A) = 3/5; P(B) = 3/5; P(A AND B) = 2/5, then what is P(A OR B)? Are A and B mutually exclusive? Prove your answer mathematically.
Provide complete and step by step solution for the question and show calculations and use formulas.