Suppose that Marvin rolls a pair of fair six-sided dice. Let
A
AA be the event that the first die lands on
4
44 and
B
BB be the event that Marvin rolls doubles.
Using the sample space of possible outcomes below, answer each of the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the first die lands on
4
44?

What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that Marvin rolls doubles?

What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the first die lands on
4
44 and Marvin rolls doubles?

Are events
A
AA and
B
BB independent?
Choose 1
Choose 1

(Choice A)
A
Yes, events
A
AA and
B
BB are independent events.

(Choice B)
B
No, events
A
AA and
B
BB are not independent events.