For each experiment, determine whether events A and B are independent or dependent. Experiment Events Independent Dependent A box contains tiles labeled A through Z. A tile is randomly chosen from the box and set aside. Then another random selection is made from the remaining tiles. Event A: The first selection is a tile labeled with a "J". Event B: The second selection is a tile labeled with a "Z".     A paper clip is randomly selected from a container with black clips and white clips and thrown away. Then another random selection is made from the remaining clips. Event A: The first selection is a black paper clip. Event B: The second selection is a white paper clip.     A spinner with slices numbered  1  through  10  is spun twice. Event A: The first spin lands on  1 . Event B: The second spin lands on  8 .     Nicole randomly selects one of her sports trading cards. She then returns the card to the deck and mixes the deck. Then another random selection is made. Event A: The first selection is a baseball player. Event B: The second selection is a tennis player.     A bag contains red beans and orange beans. A bean is selected from the bag and dropped back into the bag. The beans are mixed. Then another random selection is made. Event A: The first selection is a red bean. Event B: The second selection is an orange bean.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question

For each experiment, determine whether events A and B are independent or dependent.

Experiment
Events
Independent
Dependent
A box contains tiles labeled A through Z. A tile is randomly chosen from the box and set aside. Then another random selection is made from the remaining tiles.
Event A: The first selection is a tile labeled with a "J".
Event B: The second selection is a tile labeled with a "Z".
 
 
A paper clip is randomly selected from a container with black clips and white clips and thrown away. Then another random selection is made from the remaining clips.
Event A: The first selection is a black paper clip.
Event B: The second selection is a white paper clip.
 
 
A spinner with slices numbered 
1
 through 
10
 is spun twice.
Event A: The first spin lands on 
1
.
Event B: The second spin lands on 
8
.
 
 
Nicole randomly selects one of her sports trading cards. She then returns the card to the deck and mixes the deck. Then another random selection is made.
Event A: The first selection is a baseball player.
Event B: The second selection is a tennis player.
 
 
A bag contains red beans and orange beans. A bean is selected from the bag and dropped back into the bag. The beans are mixed. Then another random selection is made.
Event A: The first selection is a red bean.
Event B: The second selection is an orange bean.
 
 
 
 
 
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