+10 The probability that you roll a 3 on a six-sided die is 1/6 . The probability that you flip a coin that lands on tails is 1/2 . The probability that you roll a 3 on a six-sided die and you flip a coin that lands on tails is 1/12 . What is the probability of flipping a coin and it landing on tails, given that you rolled a 3 on a six-sided die? Are these two events independent?
A.) P(T|3) = 1/12; therefore, events are independent because P(T|3) = P(T).
B.) P(T|3) = 1/6; therefore, events are dependent because P(T|3) ≠ P(T).
C.) P(T|3) = 1/3; therefore, events are dependent because P(T|3) ≠ P(T).
D.) P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).
