Question

Roulette Wheel: The game of roulette involves
spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A
ball is spun onto the wheel and will eventually land in a slot,
where each slot has an equal chance of capturing the ball.

a) You watch a roulette wheel spin 6 consecutive times and the ball
lands on a red slot each time. What is the probability that the
ball will land on a red slot on the next spin?

(please round to four decimal places)

b) You watch a roulette wheel spin 260 consecutive times and the
ball lands on a red slot each time. What is the probability that
the ball will land on a red slot on the next
spin? (please round to four decimal places)

Answer #1

The game of roulette involves spinning a wheel with 38 slots: 18
red, 18 black, and 2 green. A ball is spun onto the wheel and will
eventually land in a slot, where each slot has an equal chance of
capturing the ball. One popular bet is that it will stop on a red
slot; such a bet has an 18/38 chance of winning. Suppose a gambler
bets on red in 6 different spins.
a) Find the probability the gambler...

Roulette is a game of chance that involves spinning a wheel that
is divided into 38 equal segments, as shown in the accompanying
picture.
An image of a roulette wheel is shown. Text to the side of the
image reads "©Anna Baburkina/Shutterstock.com."
A metal ball is tossed into the wheel as it is spinning, and the
ball eventually lands in one of the 38 segments. Each segment has
an associated color. Two segments are green. Half of the other 36...

A standard roulette wheel has 38 numbered slots, which includes
18 black slots, 18 red slots, and 2 green slots. When the
roulette wheel is spun and the ball is dropped, it can fall into
any of the 38 spots randomly. Since there are 38 slots on the
wheel, the chance that the ball will land on any one number is 1
in 38, or approximately 2.63 percent.
If you see the ball land on 7, then the probability that...

A roulette wheel has 38 slots in which the ball can land. Two of
the slots are green, 18 are red, and 18 are black. The ball is
equally likely to land in any slot. The roulette wheel is going to
be spun twice, and the outcomes of the two spins are
independent.
4. The probability that it lands on red neither time is
a. 0.2244. b. 0.2770. c. 0.4488. d. 0.9474.
5. The probability that it lands once on...

A roulette wheel has 38 slots in which the ball can land. Two of
the slots are green, 18 are red and 18 are black. The ball is
equally likely to land in any slot. The roulette wheel is going to
be spun twice and the outcomes of the two spins are
independent.
The probability that it never lands on green is
0.9474.
0.8947.
0.8975.
0.0526.

Roulette An American roulette wheel has 18 red slots among its
38 slots. To test if a particular roulette wheel is fair, you spin
the wheel 50 times and the ball lands in a red slot 31 times. The
resulting P-value is 0.0384.
(a) Interpret the P-value in context.
(b) Are the results statistically significant at the a = 0.05
level? Explain. What conclusion would you make?
c) The casino manager uses your data to produce a 99% confidence
interval...

A roulette wheel has 38 slots, numbered 1 to 36, with two
additional green slots labeled 0 and 00. Jim, a dealer at a
roulette table, tests the roulette wheel by spinning a ball around
the wheel repeatedly and seeing where the ball lands. The ball has
an equally likely chance of landing in each slot. If Jim spins the
ball around the wheel 20 times, what is the probability that the
ball lands in a green slot at most...

8. (3 pts) In the game of roulette, a wheel consists of 38
slots, numbered 0, 00, 1, 2, … , 36. To play the game, a metal ball
is spun around the wheel and is allowed to fall into one of the
numbered slots. The slots numbered 0 and 00 are green, the odd
numbers are red and the even numbers are black. Determine the
probability that the metal ball falls into a red slot or a slot
with...

An American roulette wheel contains 38 numbers: 18 are red, 18
are black, and 2 are green. When the roulette wheel is spun, the
ball is equally likely to land on any of the 38 numbers. Suppose
that you bet $1 on red. If the ball lands on a red number, you win
$1; otherwise you lose your $1. Let X be the amount you
win on your $1 bet.
Determine the probability distribution of the random variable
X .

A roulette wheel has 38 slots, numbered 1-36, 0 and 00. This
means there are 18 even numbered slots, 18 odd numbered slots and
two slots that are neither even nor odd. A ball is released into
the wheel as it spins and is equally likely to land in any one of
the slots. Find the amount each of the following gamblers is
expected to win as well as the standard deviation.
(a) A gambler places a $100 bet on...

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