Question
In: Statistics and Probability
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into a location marked by one particular colored number. In the United States there are 18 locations colored red, 18 locations colored black and 2 locations colored green. The red and black locations are numbered 1-36 and the green locations are labeled "0" and "00" as shown in the picture to the right. The wheel therefore has 38 locations in total. Note that the odd and even values are not evenly distributed within each color. For any particular wager a player makes, an expected profit can be calculated from: Expected profit = (Prob. of winning) x (winning payout amount) - wager
(c) Another potential wager is to "bet on odd" which has the same payout as betting on black, but wins only when the ball lands in a location with an odd number of either color. If the ball lands on an even numbered location or a green space you lose your wager and the payout would be $0. What is the expected profit from placing two bets on a single spin - $17 on black and $19 on odd? (round to closest penny)
Solutions
orchestra answered 1 year agoRelated Solutions
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a
steel ball falls into a location marked by one particular colored
number. In the United States there are 18 locations colored red, 18
locations colored black and 2 locations colored green. The red and
black locations are numbered 1-36 and the green locations are
labeled "0" and "00" as shown in the picture to the right. The
wheel therefore has 38 locations in total. Note that the odd...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a
steel ball falls into a location marked by one particular colored
number. In the United States there are 18 locations colored red, 18
locations colored black and 2 locations colored green. The red and
black locations are numbered 1-36 and the green locations are
labeled "0" and "00" as shown in the picture to the right. The
wheel therefore has 38 locations in total. Note that the odd...
ROULETTE is a casino game where a numbered wheel spins and a steel ball falls into...
ROULETTE is a casino game where a numbered wheel spins and a
steel ball falls into a location marked by one particular colored
number. In the United States there are 18 locations colored red, 18
locations colored black and 2 locations colored green. The red and
black locations are numbered 1-36 and the green locations are
labeled "0" and "00" as shown in the picture to the right. The
wheel therefore has 38 locations in total. Note that the odd...
Roulette is a casino game that involves spinning a ball on a wheel that is marked...
Roulette is a casino game that involves spinning a ball on a
wheel that is marked with numbered squares that are red, black, or
green. Half of the numbers 1-36 are red and half are black, 0 and
00 are green. Each number occurs only once on the wheel.
The most common bets are to bet on a single number or to bet on
a color (red or black). The pocket in which the ball lands on the
wheel determines...
Roulette is a casino game that involves spinning a ball on a wheel that is marked...
Roulette is a casino game that involves spinning a ball on a
wheel that is marked with numbered squares that are red, black or
green. Half of the numbers 1-36 are colored red and half are black.
The numbers 0 and 00 are green. Each number occurs only once on the
wheel.
We can make many different types of bets but the simplest are
to bet on a number or on a color (either red or black). These are
the...
STRAIGHT FROM THE BOOK Roulette In the casino game of roulette there is a wheel with...
STRAIGHT FROM THE BOOK
Roulette In the casino game of roulette there is a wheel
with 19 black slots, 19 red slots, and 2 green slots. In the game,
a ball is rolled around a spinning wheel and it lands in one of the
slots. It is assumed that each slot has the same probability of
getting the ball. This results in the table of probabilities
below.
Fair Table Probabilities
black
red
green
Probability
19/40
19/40
2/40
You watch the...
In the game of roulette, a steel ball is rolled onto a wheel that contains 18...
In the game of roulette, a steel ball is rolled onto a wheel
that contains 18 red, 18 black, and 2 green slots. If the ball is
rolled 38 times, find the probability of the following events.
A. The ball falls into the green slots 3 or more times.
Probability = (0.3815 is the wrong answer)
B. The ball does not fall into any green slots.
Probability = (0.2590 is wrong)
C. The ball falls into black slots 14 or...
In the game of roulette, a steel ball is rolled onto a wheel that contains 18...
In the game of roulette, a steel ball is rolled onto a wheel
that contains 18 red, 18 black, and 2 green slots. If the ball is
rolled 38 times, find the probability of the following events.
A. The ball falls into the green slots 4 or more times.
B. The ball does not fall into any green slots.
C. The ball falls into black slots 15 or more times.
D. The ball falls into red slots 10 or fewer...
In the game of roulette, there is a wheel with 37 slots numbered with the integers...
In the game of roulette, there is a wheel with 37 slots numbered
with the integers from 0 to 36, inclusive. A player bets $3 and
chooses a number. The wheel is spun and a ball rolls on the wheel.
If the ball lands in the slot showing the chosen number, the player
receives $3 plus 100$. Otherwise, the player loses the $3 bet.
Assume that all numbers are equally likely. Determine the variance
of the gain or loss per...
In the popular American game of roulette, the roulette wheel has 38 spaces that are numbered...
In the popular American game of roulette, the roulette wheel has
38 spaces that are numbered 0, 00, and 1 through 36, 0.
Find the probability of getting the following:
a) A number that is less than 15, not counting 0 and 00;
b) A number that is a multiple of 3 or 5, not counting 0 and
00;
c) An odd number that is less than 15, not counting 0 and 00;
d) A number that is between 1...
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