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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...
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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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