Using your dice with two fives and no ones, imagine that you are playing a simple...

Question

Question

Using your dice with two fives and no ones, imagine that you are playing a simple...

Using your dice with two fives and no ones, imagine that you are playing a simple game where you get paid $1 per pip. What is the expected value of a single roll of the die?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

P(2) = 1/6 with paid $2

P(3) = 1/6 with $3

P(4) = 1/6 with $4

P(5) = 2/6 with $5

P(6) = 1/6 with $6

(Paid $1 per pip)

Expected value = 2/6 + 3/6 + 4/6 + 10/6 + 6/6

= 25/6

= 4.1666

Add a comment

Answer 2

Similar Homework Help Questions

Imagine that you decide to cheat at dice. You get a standard six-sided die and where...

Imagine that you decide to cheat at dice. You get a standard six-sided die and where the one normally is you add some pips (dots on dice) to make the one into a five. So now this die has no one by two fives. Write down the probability distribution of this die
The following dice game is offered to you. You may simultaneously roll one red die and...

The following dice game is offered to you. You may simultaneously roll one red die and three blue dice. The stake is $1. If none of the blue dice matches the red die, you lose your stake; otherwise, you get anyway paid k + 1 dollars if exactly k of the blue dice match the red die. In the case that exactly one blue die matches the red die, you get paid an additional $0.50 if the other two blue...
In a dice game, you roll a fair die three times, independently. If you don’t roll...

In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...

(1 point) You're playing Dungeons and Dragons. Each round, you make an attack. If the attack...

(1 point) You're playing Dungeons and Dragons. Each round, you make an attack. If the attack hits, you deal a certain amount of damage (otherwise, you deal zero damage for that round) First, you roll a twenty-sided die to see you hit. (Assume the die is fair etc.) If you roll 11 or greater, you make a hit, then roll two six-sided dice; the damage you deal is the sum of these dice. What is the expected value of the...
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values...

The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values together. 2. Choose whether to roll the dice again or pass the dice to your opponent. 3. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your...
You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0)...

You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0) 0 6 6

You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0)...

You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0) 0 6 6
You and a friend are rolling a set of 7 dice. The game works such that...

You and a friend are rolling a set of 7 dice. The game works such that if a die shows the values 1, 2, 3, or 4 you will get a point for that die. Each die that shows 5 or 6 your friend will get a point for. Construct a probability model for a single roll of the dice then answer the following. A)If we play a second round of this game, what is the probability that you will...
Playing Dice 1 point possible (graded) You and your friend play dice games for fun, but...

Playing Dice 1 point possible (graded) You and your friend play dice games for fun, but one day you suspect that the die your friend uses is not fair. You will gather data and use the tools of hypothesis testing in this problem to provide a plausible answer as to whether or not the die is tan Pp Your statistical model is ({1,2,3,4,5,6},{Pp ). You roll the die 15 times, writing the sample as random variables X1,..., X15 where p...

A dice game is played with two distinct 12 sided dice. It costs $3 to roll...

A dice game is played with two distinct 12 sided dice. It costs $3 to roll the pair of dice one time. The payout scheme is as follows 1. Sum of 13 pays $10 Sum of 11 or 15 pays $6 Sum of 7, 9, 17, or 19 pays $3 Any other roll doesn't pay. What is the expected gain/loss after playing the game one time? A "fair" game is one in which the expected gain/loss after playing once is...

Using your dice with two fives and no ones, imagine that you are playing a simple...

Homework Answers

Add Answer to:
Using your dice with two fives and no ones, imagine that you are playing a simple...

Post as a guest

Earn Coins

Imagine that you decide to cheat at dice. You get a standard six-sided die and where...

The following dice game is offered to you. You may simultaneously roll one red die and...

In a dice game, you roll a fair die three times, independently. If you don’t roll...

(1 point) You're playing Dungeons and Dragons. Each round, you make an attack. If the attack...

The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values...

You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0)...

You roll eight six-sided dice. What is the chance that you rolled exactly two fives? (0)...

You and a friend are rolling a set of 7 dice. The game works such that...

Playing Dice 1 point possible (graded) You and your friend play dice games for fun, but...

A dice game is played with two distinct 12 sided dice. It costs $3 to roll...

Using your dice with two fives and no ones, imagine that you are playing a simple...

Homework Answers

Add Answer to: Using your dice with two fives and no ones, imagine that you are playing a simple...

Post as a guest

Earn Coins

Add Answer to:
Using your dice with two fives and no ones, imagine that you are playing a simple...