Probability of Compound and Independent/Dependent Events

A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue) 

• 1/25

• 1/5

• 1/20

• 2/5

Determine if the following events are dependent or independent.
Anna draws a card from a bag, does not replace it and draws a second time..

• Independent

• Dependent

The spinner is spun two times.  Determine the probability of landing on red the first spin and on green the second spin .

• 1/9

• 1/10

• 0

• 1/12

Find the probability of drawing a red checker from a bag of 9 black and 6 red, replacing it and then drawing another red.

• 4/25

• 2/27

• 3/43

• 9/22

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2

• 4/11

• 1/10

• 2/3

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent.

• Independent

• Dependent

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3

• 1/2

• 1/6

• 1/4

What is the probability of tossing a coin four times and getting tails each time?

• 1/16

• 1/8

• 1/2

• 1/4

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

• 1/6

• 1/3

• 1/2

• 1/4