5 identical 6-sided dice are thrown. How many different results are possible?
5 identical 6-sided dice are thrown. How many different results are possible?
5 identical 6-sided dice are thrown. How many different results are possible?
10 identical six-sided dice are thrown simultaneously. What is the probability of all 6 faces appearing?
Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin. If “4, 5 or 6” occurs, roll 6-sided dice again. What is the sample space of this experiment, Show with the tree diagram technique. How many sample points are in the sample space? What is the probability that flips results in a head?
Part A: Consider rolling two standard six-sided dice. How many possible ways (microstates) are there to make the sum of the two dice add to seven (macro state)? а. 6 b. 3 с. 1 d. 7 flip a coin. What are the chances that every Part B: Twenty people each simultaneously coin will come up heads? a. 9.5 x 10A-7 % b. 1.9 х 10^-4 % c. 9.5 x 10^-5 % d. 50 Part C: Twenty people each simultaneously flip...
3-(35 points) Two standard 6-sided dice with 6 faces having values (1,2,3,4,5,6) are thrown and the face values on the top face of cach die are observed. Let E be the event that the maximum of the dice face values is odd Let F be the event that none of the dice lands on the value 1. Let G be the event that the product is less or equal to 6. a) Determine the probabilities of all events: E, F,...
4. You roll a fair six-sided dice twice and record the results, in order. The sample space is 2,6 6,6) (a) How many possible outcomes are there? (b) What is the probability that the total (sum) of the results is equal to 10? (c) Given that the total is equal to 10, what is the probability that the first roll was a 4? (d) Given that the first roll was not a 4, what is the probability that the total...
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)...
Please enter a fraction. A bin contains 165 4-sided dice, 286 6-sided dice, 372 10-sided dice, 423 12-sided dice, and 554 20- sided dice. Assume each die is fair, and each die is equally likely to be chosen. What is the probability of rolling a 1 given that you have a 10-sided die?
Can someone help me to solve it by Matlab? ) Many dice games use two 6-sided dice, where each side faces up with equal probability, each turn consists of rolling both dice, and where the SUM of the two dice values is the outcome used in the game. Figure out how to simulate 3600 such die rolls, and then to make a nicely designed histogram displaying the outcomes as a PERCENT of the total rolls
Roll 10 dice. Find probability sum of dice is 42. (dice are 6-sided. Min roll = 10. Max roll = 120.) (number of possible rolls = 6^10 = 60466176) = s^n number of favorable rolls = number of ways dice add to 42 [(number of favorable rolls)/(number of possible rolls)] = [Probability sum is 42] You must find number of favorable rolls. Given number of dice(n), sides(s), and sum of roll (r) as n = 10, s = 6, and...