1. a. P(A B) = 0.7
b. P(A I B) = 0.5
c. They are independent events as P(A I B) = P(A) or P(AB) = P(A) x P(B)
2. a. P(A B) = 0.1
b. P(B) = 0.2
3. a. P(B) = 0.3
b. P(A B) = 0.65
c. The events cannot be mutually exclusive as P(A B) = 0.15 ≠ 0
4.
a. P(black cube) = 0.25
b. P(black marble) = 0.15
c. P (red I cube) = 0.333 (to 3 d.p.)