🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Statistics
6
answers
0
watching
118
views

 
With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6?

Watch
6
answers
0
watching
118
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Already have an account? Log in
Share
Already have an account? Log in
Share
Already have an account? Log in
Share
Already have an account? Log in
Share
Karol E.
Karol E.Lv8
20 Mar 2021
Already have an account? Log in
Share

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Rules of dice game:

• All players start with 10 points

• A dice is rolled, and if the number on the dice is 1, 2, 3, 4 or 5, this number is added to each player's score. If the number is 6, the score off all players is reduced to zero

• Before the dice is rolled each player is given the choice of continuing or taking their current score as their final score.

• This process is repeated until a 6 is rolled and the game ends. All players still playing at this point receive zero as their final score.

Suppose that you choose to play the first dice roll.

(i) Compute the expected value and standard deviation of your score after the first dice roll.

(ii) On average, do you do worse or better than someone who choose not to play and take 10 as their final score?

Now suppose that a 6 was not rolled and you chooses to continue playing

(iii) On average, what score would you have before the dice is rolled?

(iv) Compute the expected value for your score after the second dice roll.

(v) On average, do you do worse or better than someone who choose to stop playing after 1 dice roll?

(vi) Is there an optimal number of dice rolls you should continue playing for? Explain your reasoning.

(vii) If the rules are changed such that when the number is 2, 3, 4, 5 or 6, this number is added to your score. While if the number is 1, your score is reduced to zero. Discuss how this affects the optimal number of dice rolls you should continue playing for.

 Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice.

a. How many sample points are possible? Hint Use the counting rule for multiple-step experiments).

b. What is the probability of obtaining a value of 7?

c. What is the probability of obtaining a value of 7?

d. What is the probability of obtaining a value of 9 or greater?

e. Because each roll has six possible even values (2,4,6,8,10, and 12) and only five possible odd values (3,5,7,9 and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.

f. What method did you use to assign the probabilities requested?

Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice.

a. How many sample points are possible? Hint Use the counting rule for multiple-step experiments).

b. What is the probability of obtaining a value of 7?

c. What is the probability of obtaining a value of 7?

d. What is the probability of obtaining a value of 9 or greater?

e. Because each roll has six possible even values (2,4,6,8,10, and 12) and only five possible odd values (3,5,7,9 and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.

f. What method did you use to assign the probabilities requested?

 

Weekly leaderboard

Home
Homework Help 3,900,000
Statistics 10,000
Start filling in the gaps now
Log in