A fair coin is tossed twice and a fair six-faced die is rolled once. The outcome of the two tosses and the die roll are mutually independent. Define the events:
A: “at least one head appears in the two coin tosses”,
B: “the number on the die is a multiple of 3”.
a. (i) Compute P(A) and P(B).
b. (ii) Find P(B∣A).
c. (iii) Using your answers, determine whether A and B are independent.