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Math Problems
Precalculus
Expected values for a game of chance
Out of
125
125
125
tickets in a raffle, one ticket will win a
$
140
\$140
$140
prize. The other tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
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There are
10
10
10
cards in a hat, numbered
1
1
1
to
10
10
10
. The game is to draw one card out of the hat. If the number you draw is odd, you win $27. If the number you draw is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
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You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from
1
1
1
to
20
20
20
. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win
$
18
\$18
$18
. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There are
10
10
10
cards in a hat, numbered
1
1
1
to
10
10
10
. The game is to draw one card out of the hat. If the number you draw is even, you win
$
20
\$20
$20
. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
In a raffle, one ticket will win a
$
410
\$410
$410
prize, and the other tickets will win nothing. There are
1
,
000
1,000
1
,
000
in the raffle. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There are
50
50
50
cards in a hat, numbered
1
1
1
to
50
50
50
. The game is to draw one card out of the hat. If the number you draw is even, you win
$
11
\$11
$11
. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a game where the outcome is a random integer from
1
1
1
to
50
50
50
. If the outcome is odd, you win
$
14
\$14
$14
. If the outcome is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
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There is a raffle for a
$
770
\$770
$770
prize. Out of
200
200
200
tickets, one ticket will win the prize, and the remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a raffle for a
$
260
\$260
$260
prize. Out of
100
100
100
tickets, one ticket will win the prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
At a carnival, there is a raffle with
1
,
000
1,000
1
,
000
tickets. One ticket will win a
$
440
\$440
$440
prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
In a raffle, one ticket out of
125
125
125
will win a
$
440
\$440
$440
prize. The other tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a spinner with
10
10
10
equally likely sections, numbered from
1
1
1
to
10
10
10
. You have the opportunity to spin it. 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
At a carnival, there is a game where you can draw one of
50
50
50
balls from a bucket. The balls are numbered from
1
1
1
to
50
50
50
. If the number on the ball is odd, you win
$
26
\$26
$26
. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
At a carnival, there is a game where you can draw one of
20
20
20
balls from a bucket. The balls are numbered from
1
1
1
to
20
20
20
. If the number on the ball is even, you win
$
11
\$11
$11
. If the number on the ball is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There are
50
50
50
cards in a hat, numbered
1
1
1
to
50
50
50
. The game is to draw one card out of the hat. If the number you draw is even, you win
$
24
\$24
$24
. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
At a carnival, there is a raffle with
200
200
200
tickets. One ticket will win a
$
390
\$390
$390
prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a raffle for a
$
410
\$410
$410
prize. Out of
500
500
500
tickets, one ticket will win the prize, and the remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
In a raffle, one ticket out of
200
200
200
will win a
$
650
\$650
$650
prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There are
10
10
10
cards in a hat, numbered
1
1
1
to
10
10
10
. The game is to draw one card out of the hat. If the number you draw is even, you win
$
12
\$12
$12
. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a game where the outcome is a random integer from
1
1
1
to
100
100
100
. If the outcome is odd, you win
$
13
\$13
$13
. If the outcome is even, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
Out of
500
500
500
tickets in a raffle, one ticket will win a
$
130
\$130
$130
prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
There is a game where the outcome is a random integer from
1
1
1
to
20
20
20
. If the outcome is even, you win
$
15
\$15
$15
. If the outcome is odd, you win nothing. If you play the game, what is the expected payoff?
\newline
$
\$
$
____
Get tutor help
At a carnival, there is a game where you can draw one of
100
100
100
balls from a bucket. The balls are numbered from
1
1
1
to
100
100
100
. If the number on the ball is even, you win
$
13
\$ 13
$13
. If the number on the ball is odd, you win nothing. If you play the game, what is the expected payoff?
Get tutor help
