To the right is a diagram of a prize wheel. When Dave spins the wheel, he is awarded the amount on the wheel indicated by the pointer. If the wheel points to Bankrupt, he loses the total amount he has accumulated and also loses his turn. Assume that the wheel stops on a position at random and that each position is equally likely to occr. $200 $400 a) Determine Dave's expectation when he spins the wheel at the start of the game (he has no money to lose if he lands on Bankrupt). b) If Dave presently has a balance of $1400, determine his expectation when he spins the wheel. 000IS ne a turn S100

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Chapter1: Combinatorial Analysis
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To the right is a diagram of a prize wheel. When Dave spins the wheel, he is awarded the amount on the wheel indicated by the pointer. If the wheel points to Bankrupt, he
loses the total amount he has accumulated and also loses his turn. Assume that the wheel stops on a position at random and that each position is equally likely to occur.
a) Determine Dave's expectation when he spins the wheel at the start of the game (he has no money to lose if he lands on Bankrupt).
b) If Dave presently has a balance of $1400, determine his expectation when he spins the wheel.
$200
$400
Lose a turn
00E$
000I$
009$
$100
$700
008$
Transcribed Image Text:To the right is a diagram of a prize wheel. When Dave spins the wheel, he is awarded the amount on the wheel indicated by the pointer. If the wheel points to Bankrupt, he loses the total amount he has accumulated and also loses his turn. Assume that the wheel stops on a position at random and that each position is equally likely to occur. a) Determine Dave's expectation when he spins the wheel at the start of the game (he has no money to lose if he lands on Bankrupt). b) If Dave presently has a balance of $1400, determine his expectation when he spins the wheel. $200 $400 Lose a turn 00E$ 000I$ 009$ $100 $700 008$
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