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.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐