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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).

PrincesssTeauna21  Nov 29, 2017
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The probability that you flip a coin and it landing on tails given that you  rolled a "3" on the dice is just  1/2.....these events are independent......the outcome of one does not affect the other

 

cool cool cool

CPhill  Nov 29, 2017

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