Flip a coin three times Construct the sample space Use it to find the probability of at most one (1) tail.   Use the contingency table to find the probabilities.   iPhone No iPhone Student 45 56 Teacher 13 21   What is the probability a randomly selected individual has an iPhone or is a student? When selecting 3 individuals without replacement, what is the probability they are all students? What is the probability of selecting a person with an iPhone given the person is a teacher?   Are events A and B mutually exclusive as defined in class? In a single selection: A = Pick a 10 of Spades from a deck of cards;  B = Pick a card with a number divisible by 3. In a single selection:  A = Pick a face card from a deck of cards; B = Pick a red card   Are the events A and B independent, as defined in class? In sequential coin flips: A = Heads on a coin flip; B = Tails on a second coin flip In sequential card draws without replacement:  A = Draw an Ace from a deck of cards; B = draw a King on a second draw

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Question
  1. Flip a coin three times
  2. Construct the sample space
  3. Use it to find the probability of at most one (1) tail.

 

Use the contingency table to find the probabilities.

 

iPhone

No iPhone

Student

45 56

Teacher

13 21

 

  1. What is the probability a randomly selected individual has an iPhone or is a student?
  2. When selecting 3 individuals without replacement, what is the probability they are all students?
  3. What is the probability of selecting a person with an iPhone given the person is a teacher?

 

Are events A and B mutually exclusive as defined in class?

  1. In a single selection: A = Pick a 10 of Spades from a deck of cards;  B = Pick a card with a number divisible by 3.
  2. In a single selection:  A = Pick a face card from a deck of cards; B = Pick a red card

 

Are the events A and B independent, as defined in class?

  1. In sequential coin flips: A = Heads on a coin flip; B = Tails on a second coin flip
  2. In sequential card draws without replacement:  A = Draw an Ace from a deck of cards; B = draw a King on a second draw

 

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