Expeceted Value

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?

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?

• 0.7

• 1.4

• 2.0

• 6.0

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?

• $0.75

• $3.00

• $1.00

• $1.50

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?

• $4.17

• $10.83

• -$0.83

• $5.83