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whitelizard746Lv1

24 Feb 2021

you pay $20 to bet but if you win you will win $20000. To win you will have to draw a king from a regular deck and also roll 6. What is the probability to win $20000?

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misseylaLv10

3 Aug 2022

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2 Jun 2021

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Related questions

(3) Dice problems

(a) If you roll two six-sided dice, what is the probability of rolling a 7?

(b) If you roll two four-sided dice (numbered 1,2,3 and 4), what is the probability of rolling a 5?

pearleopard821

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.

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MUST BE COMPLETED IN MINITAB

Module 3 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

Produce the probability histogram (probability distribution plot) of each of the following and state if the distribution is symmetric, skewed to the left, or skewed to the right.

The binomial distribution with n = 20 and p = 0.2.

The binomial distribution with n = 30 and p = 0.48

The binomial distribution with n = 15 and p = 0.8.

Suppose X is a binomial random variable with n = 35 and p = 0.67.

What is the probability that X is exactly 20?

What is the probability that X is at most 27?

What is the probability that X is at least 15?