Probability of Dependent Events

A box contains 9 new light bulbs and 6 used light bulbs. Each light bulb is the same size and shape. Meredith will randomly select 2 light bulbs from the box without replacement. What is the probability Meredith will select a new light bulb and then a used light bulb?

• 1/54

• 2/15

• 6/25

• 9/35

What is the probability when Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat. Sue will select a gum ball then a lollipop.

• 1/24

• 4/15

• 1/100

• 2/10

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

• The probability is 3/11

• The probability is 1/11

• The probability is 3/132

• The probability is 3/12

A spinner consists of two A’s, three B’s, and three C’s. What is the probability of spinning a B and then an A?

• ²/₈

• 3/28

• ³/32

• ¹/₄

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red and black)

• 1/14

• 1/15

• 2/15

• 3/15

Sid has a bag of skittles - 12 red, 14 green & 10 blue. He chooses one, eats it, and chooses another. What is the probability that he selects a red then a blue?

• 1/12 x 1/10

• 12/36 x 10/35

• 12/36 x 11/35

• 12/36 x 10/36

Drawing a Queen from a deck of cards, giving it to Joe and then drawing a 2.

• Independent

• Dependent

Anna draws a toothpick from the jar, uses it, then picks another.

• Independent

• Dependent

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

The outcome of one event does influence the outcome of the other event

• mutually exclusive event

• probability

• dependent event

• simple probability