# Expeceted Value

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

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• 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?