Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

a) What is P (A),the probability that the six-sided die is an even number?

b) What is P (B), the probability that the four-sided die is an odd number?

c) What is P (A and B), the probability that the six-sided die is an even number and the four-sided die is an odd number?

d) Are events A and B independent?