suppose that n fair dice are rolled. what are chances that not all n faces will...
suppose that n fair dice are rolled. what are chances that not all n faces will be the same?
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suppose that n fair dice are rolled. what are chances that not
all n faces will...
Three fair dice, each has 6 different faces, are rolled. Let B define the event that...
Three fair dice, each has 6 different faces, are rolled. Let B define the event that no two or no three dice show the same face. What is the probability of B
49. If two fair dice are rolled, find the probability that the sum of the faces...
49. If two fair dice are rolled, find the probability that the sum of the faces is 12.
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled...
I know Pk~1/k^5/2 just need the
work
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...
Suppose that 16 fair, 6-sided dice are rolled together (but independently). (a) What is the probability...
Suppose that 16 fair, 6-sided dice are rolled together (but independently). (a) What is the probability that the average face value (that is, after the roll, add the face values of all the dice together and then divide by 16) is between 3 and 4? (d) Let Y denote the total face value of the 16 dice after the roll. What is the mean and standard deviation of Y? (e) Now instead of rolling 16 dice, you roll n dice....
Suppose you roll two fair 10-sided dice. Each dice has its faces labeled 1 through 10...
Suppose you roll two fair 10-sided dice. Each dice has its faces labeled 1 through 10 and by "fair" we mean each face is equally likely to appear. What is the probability that both dice show the same face? Note: Give an exact answer as a fraction in the form a/b (explained) Number A fair coin is tossed three times. What is the probability that the same face will never appear two times n a row? Give an exact answer...
1. Suppose 7 dice are rolled. The dice are 6-sided and fair. a). Find the probability...
1. Suppose 7 dice are rolled. The dice are 6-sided and fair. a). Find the probability that more than 5 dice show 2 or less (you may leave your answer in unsimplified form). I found this answer to be 5/729= 0.006859 b). Suppose we roll 7 dice and count the number showing 2 or less. We repeat this experiment over and over, each time counting the number showing 2 or less. What should we expect to compute as an average...
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a...
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
1.) Suppose you roll two fair six-sided dice. What is the probabilty that I rolled a...
1.) Suppose you roll two fair six-sided dice. What is the probabilty that I rolled a total of 5? 2.) Suppose you roll two fair six-sided die and I announce that the sun of the two die is 6 or less. What is the probabilty that you rolled a total of 5?
4. A pair of fair dice is rolled. Let X be the largest of the number...
4. A pair of fair dice is rolled. Let X be the largest of the number of dots on the top faces. Find the distribution law of X.
1. A blue fair 6-sided dice and a red fair 6-sided dice are rolled at the...
1. A blue fair 6-sided dice and a red fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given 1 2 3 4 5 6 at least one of the dice shows a 3? 1 (1.1) (1.2) (1.3) (1.4) (1.5) (1.6) 2 (2.1) (2.2) (2.3) (2.4) (2.5) (2.6) (3.1) (3.2) (3.3) (3.4) (3.5) (3.6) (4.1) (4.2) (4.3) (4.4) (4.5) (4.6) 5 (5.1) (5.2) (5.3) (5.4) (5.5) (5.6)...
49. If two fair dice are rolled, find the probability that the sum of the faces is 12.
I know Pk~1/k^5/2 just need the
work
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...
Suppose that 16 fair, 6-sided dice are rolled together (but independently). (a) What is the probability that the average face value (that is, after the roll, add the face values of all the dice together and then divide by 16) is between 3 and 4? (d) Let Y denote the total face value of the 16 dice after the roll. What is the mean and standard deviation of Y? (e) Now instead of rolling 16 dice, you roll n dice....
Suppose you roll two fair 10-sided dice. Each dice has its faces labeled 1 through 10 and by "fair" we mean each face is equally likely to appear. What is the probability that both dice show the same face? Note: Give an exact answer as a fraction in the form a/b (explained) Number A fair coin is tossed three times. What is the probability that the same face will never appear two times n a row? Give an exact answer...
4. A pair of fair dice is rolled. Let X be the largest of the number of dots on the top faces. Find the distribution law of X.
1. A blue fair 6-sided dice and a red fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given 1 2 3 4 5 6 at least one of the dice shows a 3? 1 (1.1) (1.2) (1.3) (1.4) (1.5) (1.6) 2 (2.1) (2.2) (2.3) (2.4) (2.5) (2.6) (3.1) (3.2) (3.3) (3.4) (3.5) (3.6) (4.1) (4.2) (4.3) (4.4) (4.5) (4.6) 5 (5.1) (5.2) (5.3) (5.4) (5.5) (5.6)...
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