Expeceted Value

5 Questions

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Arithmetic Quizzes & Trivia

Students will find the expected value of events to predict outcomes.


Questions and Answers
  • 1. 
    A spinner has three sections, each with different point values. • The 1-point section is 1/3 the area of the spinner. • The 2-point section is 1/3the area of the spinner. • The 3-point section is 1/3 the area of the spinner. To the nearest tenth of a point, what is the expected value on any one spin?
  • 2. 
    A spinner has three sections, each with different point values and areas. • The 1-point section is 2/3 the area of the spinner. • The 2-point section is 1/4 the area of the spinner. • The 3-point section is 1/12 the area of the spinner. To the nearest tenth of a point, what is the expected value on any one spin?
    • A. 

      0.7

    • B. 

      1.4

    • C. 

      2.0

    • D. 

      6.0

  • 3. 
    Keira is playing a game at a school carnival. She pays $1 to play the game. In the game, there are eight identical small doors. Behind six of the doors there is nothing. Behind one of the doors there is a $1 coupon she can use to play the game again. Behind one of the doors there is a prize worth $5. The coupon and prize are assigned randomly to doors each time a person plays the game. What is the expected value of playing the game one time?
    • A. 

      $0.75

    • B. 

      $3.00

    • C. 

      $1.00

    • D. 

      $1.50

  • 4. 
    Mack rolls a dice.  If he lands on an even number, he will gain $15.00.  If he lands on a 3 or a 5, he will lose $10.00.  If he lands on a 1, he neither gains nor loses any money.  If he pays $5.00 to roll the dice,on average how much money can he expect to earn for each roll?
    • A. 

      $4.17

    • B. 

      $10.83

    • C. 

      -$0.83

    • D. 

      $5.83

  • 5. 
    A spinner has four sections, each with different point values. • The 1-point section is 1/2 the area of the spinner. • The 2-point section is 1/4the area of the spinner. • The 10-point section is 1/4 the area of the spinner. To the nearest tenth of a point, what is the expected value on any one spin?