1. Let A and B be two events such that P(A) = 0.5, P(B) = 0.4 and P(A 
B) = 0.2
a. Find the value of P(A 
B)
b. Find P(A I B)
c. Are events A and B independent events. Explain your answer.
2. A and B are two independent events such that P(A) = 0.5 and P(B I A) = 0.2
a. Find the value of P(A B)
b. Find the value of P(B) if A and B are independent.
3. A and B are two independent events such that P(A) = 0.5 and P(B I A) = 0.3.
a. Find the value of P(B)
b. Find the probability that at least one of events A and B occurs.
c. Are A and B mutually exclusive events. Explain your answer.
4. Suppose that a bag contains red and black marbles and cubes. (40 pieces in all.) One piece is taken out at random. There are 24 red pieces, 15 cubes and 5 red cubes.
By first drawing a Venn diagram, starting from the intersection, calculate:
a. P(black cube is selected)
b. P(black marble is selected)c. If a cube is drawn out, find the probability that it is red.
