The probability that you roll a 3 on a six-sided die is . the probability that you flip a coin that lands on tails is . the probability that you roll a 3 on a six-sided die and you flip a coin that lands on tails is . 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? p(t|3) = ; therefore, events are independent because p(t|3) = p(t). p(t|3) = ; therefore, events are dependent because p(t|3) ≠ p(t). p(t|3) = ; therefore, events are dependent because p(t|3) ≠ p(t). p(t|3) = ; therefore, events are independent because p(t|3) = p(t).

1/6; 1/2; 1/12; P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).

Step-by-step explanation:

The probability of rolling a 3 on a six-sided die is 1/6.  This is because there is one 3 out of 6 possibilities.

The probability of flipping a coin on tails is 1/2.  This is because there is one side "tails" out of 2 possibilities.

The probability of rolling a 3 and flipping tails is 1/6(1/2) = 1/12.

P(T|3) = P(3 and Tails)/P(3) = 1/12 / (1/6) = 1/12(6/1) = 6/12 = 1/2

Since P(T|3) = P(3), these are independent events.

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

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