Question

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

Compute the probability of each of the following event.

The sum is divisible by 2 or 6 (or both)

Round answer to two decimal places.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event A: The sum is greater than 8. Event B: The sum is an...
A fair six-sided die has two sides painted red, 3 sides painted blue and one side...
A fair six-sided die has two sides painted red, 3 sides painted blue and one side painted yellow. The die is rolled and the color of the top side is recorded. List all possible outcomes of this random experiment Are the outcomes equally likely? Explain Make a probability distribution table for the random variable X: color of the top side        2. If a pair of dice painted the same way as in problem 1 is rolled, find the probability...
You have a fair five-sided die. The sides of the die are numbered from 1 to...
You have a fair five-sided die. The sides of the die are numbered from 1 to 5. Each die roll is independent of all others, and all faces are equally likely to come out on top when the die is rolled. Suppose you roll the die twice. Let event A to be “the total of two rolls is 10”, event B be “at least one roll resulted in 5”, and event C be “at least one roll resulted in 1”....
A novelty die with six sides is printed with the numbers 1, 2, 3, 4, 8,...
A novelty die with six sides is printed with the numbers 1, 2, 3, 4, 8, 16. (a) If the die is rolled once what is the probability of geting an odd number? (b) If the die is rolled twice and the numbers for each roll added together, what is the probability of getting an odd sum?
Two faces of a six-sided die are painted red, two are painted blue, and two are...
Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) Let BBR denote the outcome where the color appearing face up on the first and second rolls is blue and the color appearing face up on the third roll is red. Because there are as many faces of one...
Imagine rolling two fair 6 sided dice. the number rolled on the first die is even...
Imagine rolling two fair 6 sided dice. the number rolled on the first die is even and the sum of the rolls is ten. are these two events independent?
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the...
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the sides and a fair 5-sided die with the numbers 1 through 5 on the sides. What is the probability that a roll of the six-sided die will produce a value larger than the roll of the five-sided die? 2. What is the expected number of rolls until a fair five-sided die rolls a 3? Justify your answer briefly.
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and 4 according to this table: side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3 4 Rolling two such dice is an experiment with the sample space S =       (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...
Imagine rolling two fair 6 sided dice. What is the probability the number rolled on the...
Imagine rolling two fair 6 sided dice. What is the probability the number rolled on the first die is even or the sum of the rolls is 10?
Alice rolls a six faced fair die twice, and she obtains two numbers that we denote...
Alice rolls a six faced fair die twice, and she obtains two numbers that we denote with X and Y , respectively. Fair die means that, in each roll, the six outcomes are equally likely. Let A be the event that X = 4, B be the event that X + Y = 6, and C be the event that Y = 5. (a) Write the sample space S for this experiment. (b) Are A and B independent? (c) Are...