Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3, 4. Compute the probability...
Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3, 4. Compute the probability of rolling
a) a sum of 3
b) a sum of 6
c) a sum of 9
d) the most likely sum(s) along with its probability.
Homework Answers
Total number of possible combinations = 42 = 16
a)
Sum of 3: {(1,2),(2,1)}
Required probability = 
b)
Sum of 6: {(2,4),(4,2),(3,3)}
Required probability = 
c)
Sum of 9: {
}
Required probability = 
d)
Sum of 2: {(1,1)}
Sum of 3: {(1,2),(2,1)}
Sum of 4: {(1,3),(3,1),(2,2)}
Sum of 5: {(1,4),(4,1),(2,3),(3,2)}
Sum of 6: {(2,4),(4,2),(3,3)}
Sum of 7: {(3,4),(4,3)}
Sum of 8: {(4,4)}
Since sum 5 has maximum instances, so it is the most likely sum.
P(sum is 5) = 
Add Answer to:
Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3,
4. Compute the probability...
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...
Question 4 of 4 > Consider a pair of four-sided dice. The four sides of each...
Question 4 of 4 > Consider a pair of four-sided dice. The four sides of each die are numbered 1, 2, 3, and 4. Each time the pair of dice is rolled, the numbers from each die are added together. Out of all the possible ways the dice can land, how many of them give a sum of 6? ways that give a sum of 6: How many ways give a sum of 8? ways that give a sum of...
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on...
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
Imagine rolling two fair 6 sided dice. What is the probability the sum of the rolls...
Imagine rolling two fair 6 sided dice. What is the probability the sum of the rolls is 10?
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The...
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The sum is at most 6. (b) The sum is more than 6. (c) The sum is at most 6 and at least one die is a 4. 2. Consider the letters a,b,c. Suppose we draw 2 of the letters at random (allowing for repetition). Assume order matters. That is, ab is not the same as ba: Let A : The 2 letters are distinct....
Three fair six-sided dice are rolled. a) What is the probability of seeing {1, 3, 6}?...
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?
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.
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.
Simulate rolling two, fair, six-sided dice 10000 times and adding the "up" faces together each time...
Simulate rolling two, fair, six-sided dice 10000 times and adding the "up" faces together each time using the "Dice Generator." Plot a relative frequency histogram of the results. Please note that your data will be randomly generated; therefore, select the answer below that is most similar to the histogram that you generated from your random data. If this is challenging, consider all four simulation questions in this assignment at the same time and look for the expected pattern in the...
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)...
Two fair six-sided dice are rolled. What is the probability that one die shows exactly three...
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)
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...
Question 4 of 4 > Consider a pair of four-sided dice. The four sides of each die are numbered 1, 2, 3, and 4. Each time the pair of dice is rolled, the numbers from each die are added together. Out of all the possible ways the dice can land, how many of them give a sum of 6? ways that give a sum of 6: How many ways give a sum of 8? ways that give a sum of...
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.
Simulate rolling two, fair, six-sided dice 10000 times and adding the "up" faces together each time using the "Dice Generator." Plot a relative frequency histogram of the results. Please note that your data will be randomly generated; therefore, select the answer below that is most similar to the histogram that you generated from your random data. If this is challenging, consider all four simulation questions in this assignment at the same time and look for the expected pattern in 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)...
Most questions answered within 3 hours.
-
Please help me find the coefficient of kinetic and static
friction of two masses (500kg and...
asked 19 seconds ago -
A processor of carrots cuts the green top off each carrot,
washes the carrots, and inserts...
asked 3 minutes ago -
Stanley Department Stores reported net income of $815,000 for
the year ended December 31, 2018.
Additional...
asked 5 minutes ago -
Below are the node_struct, link, list_struct and
list as defined in class and in hw3: typedef...
asked 3 minutes ago -
BA Corp is issuing a 10-year bond with a coupon rate of 6.00
percent. The interest...
asked 11 minutes ago -
How does a cell control the cell cycle? Explain 4 different ways
that cell cycle is...
asked 17 minutes ago -
We have to write some code to simulate
rabbits population growth in Australia. We have determined...
asked 17 minutes ago -
Presidential Aviation has provided charter flights to a wide
array of customers, including business travelers worldwide....
asked 31 minutes ago -
Discuss the significance of accounting systems in generating
reliable accounting information (200 words)
asked 36 minutes ago -
McCracken Aerial,
Inc., produces and sells a unique type of TV antenna. The company
has just...
asked 49 minutes ago -
Write a program to prompt the user for hours and rate per hour
using input to...
asked 1 hour ago -
Hi, please help
1)Draw two molecules that could hydrogen bond with each other.
Draw and indicate...
asked 1 hour ago