Urpi and Manco are playing a game where they flip a fair coin four times and try to predict the outcomes. Using the sample space of possible outcomes listed below, answer each of the following questions. What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the second flip is heads?
What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the fourth flip is heads?
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 second flip is heads and the fourth flip is heads?
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.