If sixteen 8-sided fair dice are rolled at the same time, what is the probability that each number will appear twice?
If sixteen 8-sided fair dice are rolled at the same time, what is the probability that...
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)...
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 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?
Three fair six-sided dice are rolled. a) What is the probability of seeing {1, 3, 6}? b) What is the probability of seeing {1, 4, 4}? c) What is the probability of seeing {2, 2, 2} ? d) What is the probability of seeing at least one 6? e) What is the probability that the sum of all three dice is 16? f) What is the probability of seeing exactly two even numbers?
A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was less than or equal to5 A fair coin is flipped 3 times. Find the probability that exactly 1 of the flips will turn up as heads.
A 20-sided fair die and an 8-sided fair die are rolled. What is the probability of rolling: exactly a 5 on the first die OR a 2 or larger on the second die? Enter your answer as a reduced fraction. ________________
Two fair six-sided dice are rolled. What is the probability that one die shows exactly three more than the other die (for example, rolling a 1 and 4, or rolling a 6 and a 3)
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
Two fair (6-sided) dice are rolled. If you are told that the two dice end up with two different face values, what is the probability that one die has a face value of 6?
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....