Independent and Dependent Probability

Determine whether the scenario involves independent or dependent events. Then find the probability.

There are nine nickels and six dimes in your pocket. You randomly pick a coin from your pocket, return it to your pocket, then randomly pick another coin. The first coin is a nickel and the second coin is a dime.

P (nickel, dime WITH replacing)

(Simplify your answer)

• Independent; 15/15

• Dependent; 36/35

• Independent; 6/25

• Dependent; 9/35

Determine whether the scenario involves independent or dependent events. Then find the probability.

You select two cards from a standard deck of 52 cards. The first selected card was a heart and the second selected card was a spade. Note: The first card selected was NOT placed back into the deck.

P (heart, spade WITHOUT replacing)

(Simplify your answer)

• Dependent; 13/204

• Independent; 13/204

• Independent; 1/16

• Dependent; 1/16

Determine whether the scenario involves independent or dependent events. Then find the probability.

A bag contains 8 red candies and 6 blue candies. You randomly pick a candy and then return it to the bag before picking another candy. The first candy is red and the second candy is blue. P (red, blue WITH replacing)

(Simplify your answer)

• Independent; 24/91

• Dependent; 12/49

• Independent; 12/49

• Dependent; 24/91

Determine whether the scenario involves independent or dependent events. Then find the probability.

Your sock drawer has two white socks, six brown socks, and four black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right.

P (white, brown WITHOUT replacing)

(Simplify your answer)

• Independent; 1/11

• Dependent; 1/12

• Dependent; 1/11

• Independent; 1/12

For your birthday you take $30 to a music store and plan to buy 3 vinyl albums. In the store you find 14 vinyl options: 3 Jazz albums, 6 Classic Rock albums, and 5 R&B albums. You choose 3 albums randomly without replacing any as you choose. What is the probability that you will choose 1 R&B, 1 Jazz, and 1 Classic Rock in that order?

P (R&B, Jazz, Classic Rock)

(Simplify your answer)

• 14/39

• 45/1372

• 15/364

• 1/3

Determine whether the scenario involves independent or dependent events. Then find the probability.

A cooler contains ten bottles of sports drinks: three lemon lime flavor, five orange flavor, and two fruit punch flavor. You randomly grab a bottle, then return the bottle to the cooler, mix up the bottles, and randomly select another bottle. The first time you got a lemon lime drink. The second time you get fruit punch. (Simplify your answer)

• Dependent; 1/15

• Independent; 1/15

• Independent; 3/50

• Dependent; 3/50

A basket contains 4 green marbles, 9 yellow marbles and 7 blue marbles. A marble is drawn without replacement. Then another marble is drawn. What is the probability that both marbles will be green? P (Green, Green)

(Simplify your answer)

• 34/95

• 12/380

• 3/95

• 3/100

A stack of cards has 5 red cards and 8 blue cards. Sarah draws a card without replacement, then draws another card. What is the probability that she will draw one red card then one blue card? P (red, blue)

(Simplify your answer)

• 13/25

• 10/39

• 40/169

• 40/156

Let A be the set of students in art and B be the set of students in band. If two different students are selected at random (the first is not replaced), what is the probability that the first student selected is in art and the second student is NOT in art or band? Note: There are 80 students total (Simplify your answer)

• 34/80

• 9/160

• 51/632

• 9/158

The first two weeks of the basketball season always have games on different days of the week. What is the probability that these games will be played on a Wednesday and a Friday?

(Note: Games could be played Monday - Sunday)

• 2/13

• 1/13

• 1/49

• 1/42