Expeceted Value

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About This Quiz

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

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2. 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?

1 + 1 + 2 + 10 = 14, now divide by 4 = 3.5

Explanation

1 + 1 + 2 + 10 = 14, now divide by 4 = 3.5

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3. 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

1 * 2/3 + 2*1/4 + 3*1/12 = 1.4166666666.... rounded to 1.4

Explanation

1 * 2/3 + 2*1/4 + 3*1/12 = 1.4166666666.... rounded to 1.4

4. 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

There are eight doors, each of which is an equally likely outcome for the game.
• The value of each of six of the doors is $0.
• The value of one of the doors is $1.
• The value of one of the doors is $5.
The expected value of playing the game one time is $0.75.

Explanation

5. 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

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Jan 30, 2013

Quiz Edited by
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Oct 24, 2011

Quiz Created by
Bheaton1