5 Questions

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?