Please show your work.
Tossing 2 regular dice (each has 6 faces), find the probability for getting nine dots.
Please show your work. Tossing 2 regular dice (each has 6 faces), find the probability for...
Consider tossing two dice with faces labelled 1, 2 and 3. (a) What is the probability distribution of the sum of the values? (b) Use Matlab to simulate the tossing of these 2 dice for 10,000 times. Plot the histogram of the sum face values. From the simulation, estimate the probability of the sum face values in part (a). (Hint: use the function randi() to simulate pseudorandom integers.)
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) At least 9
Show up your work 5. A six-sided dice is loaded in a way that each even face is twice as likely as cach odd face. All even faces are equally likely, as are all odd faces. Construct a probabilistic model for a single roll of this dice. i.c. construct a table (or a rule) that lists all the possible outcomes and the probability associated with each. Find the probability that, on a single roll, the outcome is at least 3....
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
Please show work for all points In order to get a full credit, you need to show all work. 1) An octahedron is a solid with eight faces. Each face is shaped like a triangle with four faces a "1" is painted. On three faces a "3" is painted. And, on one face a "5" is painted. The experiment consists of tossing the solid twice, and X is the sum of the numbers on the top face each time. a)...
Please solve this probability and statistics problem The lecturer has four 6-sided dice, of which three are regular (results 1, ...,6 are equally probable). One die is deformed so that results 1 and 6 each have probability 0.3, and each other result has probability 0.1. The lecturer has chosen one die randomly and rolled it five times, obtaining the result sequence (6, 6, 2, 4, 6). We denote = 1 if the chosen die is regular, and = 2 if...
Please Explain 2. If rolling two 6-sided dice, find the probability of obtaining a sum of 7. 2. If rolling two 6-sided dice, find the probability of obtaining a sum of 7.
Problem 2. In a cup there is a mixture of 10 dice of different types: 1 four-sided die (i.e., four faces of 1, 2, 3, and 4) 2 six-sided dice (i.e., the “regular” die) 3 eight-sided dice (i.e., eight faces of 1, 2, ..., 8) 4 twelve-sided dice (i.e., twelve faces of 1, 2, ..., 12) All dice are fair (i.e., equal probability for all possible outcomes). I take one die from the cup at random,...
Part 2: Weighted Dice Suppose that I have some weighted dice with the following ‘probability distribution’: Outcome 1 2 3 4 5 6 Probability 1/8 1/8 1/8 2/8 2/8 2/8 1) Is this a discrete or continuous probability distribution? What is wrong with it? 2) Here is a fixed version. Verify that it is a valid probability distribution. To do this, check that the first two probability rules apply. Outcome 1 2 3 4 5 6 Probability 1/9 1/9 1/9...
PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS A fair six-sided die has faces numbered 1 through 6. A) What is the probability that the die would be rolled 3 times in order to get the first 2? B) What is the probability that the die would be rolled 4 times in order to get the first odd number?