Determine if two events are dependent or independent.
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Problem

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, left parenthesis, A, right parenthesis, the probability that the second flip is heads?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a proper fraction, like 1, slash, 2 or 6, slash, 10
  • an improper fraction, like 10, slash, 7 or 14, slash, 8
  • a mixed number, like 1, space, 3, slash, 4
What is P, left parenthesis, B, right parenthesis, the probability that the fourth flip is heads?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a proper fraction, like 1, slash, 2 or 6, slash, 10
  • an improper fraction, like 10, slash, 7 or 14, slash, 8
  • a mixed number, like 1, space, 3, slash, 4
What is P, left parenthesis, A, space, a, n, d, space, B, right parenthesis, the probability that the second flip is heads and the fourth flip is heads?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a proper fraction, like 1, slash, 2 or 6, slash, 10
  • an improper fraction, like 10, slash, 7 or 14, slash, 8
  • a mixed number, like 1, space, 3, slash, 4
Are events A and B independent?
Please choose from one of the following options.
HHHHHHHTTTHTHTTH
THHHTTTTTTTHTTHH
HTHHHTTTHHTTTHTH
HHTHTHTTHTHTTHHT