# Dependent and independent events

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### Problem

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.
What is P, left parenthesis, A, right parenthesis, the probability that the six-sided die is an even number?
What is P, left parenthesis, B, right parenthesis, the probability that the four-sided die is an odd number?
What is P, left parenthesis, A, space, a, n, d, space, B, right parenthesis, the probability that the six-sided die is an even number and the four-sided die is an odd number?
Are events A and B independent?
Please choose from one of the following options.
space, space