Probability of Compound and Independent/Dependent Events

Is the following compound event independent or dependent
P(1 and A)

• Independent

• Dependent

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)

• 1/15

• 2/15

• 3/31

• 1/5

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)

• 1/4

• 7/30

• 1/32

• 1/64

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3

• 5/36

• 1/9

• 1/36

Is the probability of flipping the coin and rolling the die independent or dependent?

• dependent, rolling a number on the die depends on the result from flipping the coin

• independent, rolling a number on the die does not depend on the result from flipping the coin

• neither

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

• 1/6

• 3/9

• Susan 2

• 5/6

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent

• Dependent

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?

• 1/2

• 4/11

• 1/6

• 2/3

Flip a coin two times

• Independent

• Dependent