Question

A game involves rolling a fair six-sided die. If the number
obtained on the die is a multiple of three, the player wins an
amount equal to the number on the die times $20. If the number is
not a multiple of three, the player gets nothing.

How will you model the simulation for the roll of a die?

A. Use the numbers 1–20 to represent the numbers rolled when a player wins.

B. Use the numbers 1–6 to represent the unfavorable outcomes.

C. Use the numbers 1–3 to represent all the outcomes.

D. Use the numbers 1–10 to represent the unfavorable outcomes.

E. The problem cannot be solved using a simulation.

Answer #1

A game of chance involves rolling a standard, six-sided die. The
amount of money the player wins depends on the result of the die
roll:
* If the result is 1 or 2, the player wins
nothing;
* If the result is 3, 4, or 5, the player wins 8
dollars;
* If the result is 6, the player wins 42
dollars.
(Note: Your answer to the question below should be rounded to
three decimal places.)
If you play this...

You create a game that involves flipping a coin and rolling a
six-sided die. When a player takes their turn they first flip the
coin to determine if they are going to deal or receive damage. The
person then rolls the die to determine the amount of damage dealt.
For this game, explain the difference between an event versus a
simple event. What does that have to do with sample space
Give the sample space for the game. Use H...

A game of chance involves rolling a 15-sided die once. If a
number from 1 to 3 comes up, you win 2 dollars. If the number 4 or
5 comes up, you win 8 dollars. If any other number comes up, you
lose. If it costs 5 dollars to play, what is your expected net
winnings?

Jack and Jill keep rolling a six-sided and a three-sided die,
respectively. The first player to get the face
having just one dot wins, except that if they both get a 1, it’s
a tie, and play continues. Let N denote
the number of turns needed. Find:
a. P(N=1), P(N=2).
b. P(the first turn resulted in a tie|N = 2).
c. P(Jack wins).

The
game of chance is rolling a single die if The number you bet on is
rolled the player will earn double his or her money. if a player
bets two dollars compute players expectation

You roll a six-sided die. Find the probability of each of the
following scenarios.
(a) Rolling a
55
or a number greater than 33(b) Rolling a number less than
44
or an even number(c) Rolling a
44
or an odd number
(a)
P(55
or
numbergreater than>33)equals=nothing
(Round to three decimal places as needed.)

Consider rolling two fair six-sided dice.
a) Given that the roll resulted in sum of 8, find the
conditional probability that first die roll is 6.
b) Given that the roll resulted in sum of 4 or less, find the
conditional probability that doubles are rolled.
c) Given that the two dice land on different numbers, find the
conditional probability that at least one die is a 6.

5. Suppose the six-sided die you are using for this
problem is not fair. It is biased so that rolling a 6
is three times more likely than any other roll. For this
problem, the experiment is rolling a six-sided die twice.
(A): What is the probability that one or both rolls are even
numbers (2, 4 or 6’s)?
(B): What is the probability that at least one of the rolls is
an even number or that the sum of...

Whenever a standard six-sided die is rolled, one of the
following six possible outcomes will occur by chance: , , , , , and
.
These random outcomes are represented by the population data
values: 1, 2, 3, 4, 5, and 6.
At the beginning of Week 4, take a random sample of size n = 9
from this population by actually rolling a standard six-sided die 9
separate times and recording your results. If you do not have
access...

A die is rolled six times.
(a) Let X be the number the die obtained on the first roll. Find
the mean and variance of X.
(b) Let Y be the sum of the numbers obtained from the six rolls.
Find the mean and the variance of Y

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