The probability that you roll a 5 on a six-sided die is 1/6 . The probability that you flip a coin that lands on heads is 1/2. The probability that you roll a 5 on a six-sided die and you flip a coin that lands on heads is 1/12. What is the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die? Are these two events independent?
A. P(H|5) = 1/2 ; therefore, events are independent because P(H|5) = P(H).
B. P(H|5) = 1/6 ; therefore, events are independent because P(H|5) = P(H).
C. P(H|5) = 1/3 ; therefore, events are dependent because P(H|5) ≠ P(H).
D. P(H|5) = 1/12 ; therefore, events are dependent because P(H|5) = P(H).
