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Mathematics, 04.05.2021 20:40 2sally2

The probability that you roll a 4 on a six-sided die is start fraction one over six end fraction . The probability that you flip a coin that lands on heads is start fraction one over two end fraction . The probability that you roll a 4 on a six-sided die and you flip a coin that lands on heads is start fraction one over 12 end fraction . What is the probability of flipping a coin and it landing on heads, given that you rolled a 4 on a six-sided die? Are these two events independent? (4 points) a P(H|4) = start fraction one over two end fraction ; therefore, events are independent because P(H|4) = P(H). b P(H|4) = start fraction one over six end fraction ; therefore, events are dependent because P(H|4) ≠ P(H). c P(H|4) = start fraction one over three end fraction ; therefore, events are dependent because P(H|4) ≠ P(H). d P(H|4) = start fraction one over 12 end fraction ; therefore, events are independent because P(H|4) = P(H).

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