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Math Problems
Algebra 2
Expected values for a game of chance
There is a raffle with
1
,
000
1,000
1
,
000
tickets. One ticket will win a
$
270
\$270
$270
prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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You are presented with a deck of
20
20
20
cards, numbered from
1
1
1
to
20
20
20
and can draw one card. If the number is odd, you win
$
26
\$26
$26
. If the number is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
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A raffle has
1
,
000
1,000
1
,
000
tickets. One ticket will win a
$
820
\$820
$820
prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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At a carnival, there is a raffle with
100
100
100
tickets. One ticket will win a
$
990
\$990
$990
prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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There is a spinner with
20
20
20
equally likely sections, numbered from
1
1
1
to
20
20
20
. You have the opportunity to spin it. If the number is even, you win
$
17
\$17
$17
. If the number is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
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In a raffle, one ticket will win a
$
100
\$100
$100
prize, and the remaining tickets will win nothing. There are
50
50
50
in the raffle. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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For a fundraiser, there is a raffle with
125
125
125
tickets. One ticket will win a
$
270
\$270
$270
prize, and the remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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You are presented with a deck of
10
10
10
cards, numbered from
1
1
1
to
10
10
10
and can draw one card. If the number is odd, you win
$
13
\$13
$13
. If the number is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a spinner with `50` equally likely sections, numbered from `1` to `50`. You have the opportunity to spin it. If the number is odd, you win $`11`. If the number is even, you win nothing. If you play the game, what is the expected payoff?\(\$\)_____
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