1. there are two bags of marbles. bag a contains 9 red marbles and 3 green marbles. bag b contains 9 black marbles and 6 orange marbles. find the probability of selecting one green marble from bag a and one black marble from bag b. these events are: a. independent b. dependent c. neither d. can not be determined 2. you are asked to find the probability of selecting two cards from a standard deck of cards. what is the probability that you select an ace then a king? these events are: a. can not be determined b. independent c. dependent d. neither

Problem 1

Independent

The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.

Problem 2

Dependent

Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5