For each experiment, determine whether events A and B are independent or dependent. Experiment Events Independent Dependent A hat contains slips of paper with the names of boys and girls in a class. A name is randomly selected and returned to the hat. The slips of paper are mixed. Then another random selection is made. Event A: The first selection is a boy. Event B: The second selection is a girl.     A bag contains green marbles and orange marbles. A marble is randomly selected from the bag and set aside. Then another random selection is made from the remaining marbles. Event A: The first selection is a green marble. Event B: The second selection is an orange marble.     A deck contains  8  cards labeled  1  through  8 . A card is randomly selected and returned to the deck. The deck is shuffled. Then another random selection is made. Event A: The first selection is a  3 . Event B: The second selection is a  4 .     A family has two children. Event A: The older child is a girl. Event B: Both children are girls.     A number cube with sides labeled  1  through  6  is rolled twice. Event A: The first roll is a  2 . Event B: The second roll is a  6 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question

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

Experiment
Events
Independent
Dependent
A hat contains slips of paper with the names of boys and girls in a class. A name is randomly selected and returned to the hat. The slips of paper are mixed. Then another random selection is made.
Event A: The first selection is a boy.
Event B: The second selection is a girl.
 
 
A bag contains green marbles and orange marbles. A marble is randomly selected from the bag and set aside. Then another random selection is made from the remaining marbles.
Event A: The first selection is a green marble.
Event B: The second selection is an orange marble.
 
 
A deck contains 
8
 cards labeled 
1
 through 
8
. A card is randomly selected and returned to the deck. The deck is shuffled. Then another random selection is made.
Event A: The first selection is a 
3
.
Event B: The second selection is a 
4
.
 
 
A family has two children.
Event A: The older child is a girl.
Event B: Both children are girls.
 
 
A number cube with sides labeled 
1
 through 
6
 is rolled twice.
Event A: The first roll is a 
2
.
Event B: The second roll is a 
6
.
 
 
 
 
 
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