Homework Answers
We throw six dices simultaneously, and we observe the topside of each die.
We have to find the probability of getting a triple pair.
Now, if we throw six dice, then each can have 6 outcomes.
So, the number of all possible cases is
Now, first we choose which throws would make the pairs.
This can be done in
ways.
The first pair can have 6 outcomes. The second pair can have 5 outcomes. The third pair can have 4 outcomes.
So, the number of favourable cases is
So, the required probability is
So, the answer is 0.3086.
Add Answer to:
Anyone can help with this？
6 Points You are to throw six dice simultaneously and observe...
1. (25 points 6+6+6+7) For a fair throw of six 6-sided dice (as in the game...
1. (25 points 6+6+6+7) For a fair throw of six 6-sided dice (as in the game Farkle): (a) Find the probability of 6 of a kind ANSWER (b) Find the probability of two different triplets. ANSWER (c) Find the probability of a four-of-a-kind and a different pair. ANSWER: (d) Now suppose the six dice are each of a different color and all placed an urn. After having chosen 4 with replacement, find the probability that two or more colors are...
What is the most likely outcome when we throw two fair dice, i.e., what is the most likely sum th...
What is the most likely outcome when we throw two fair dice,
i.e., what is the most likely sum that the two dice would add to?
Why? This problem can be solved by first principles. The probability
P(E) for an event E is the ratio |E|/|S|, where |E| is the
cardinality of the event space and |S| is the cardinality of the
sample space. For example, when we throw a fair die, the event
space is S = {1,2,3,4,5,6} and...
Heed help with c only. (1 point) You are to roll a fair die n =...
Heed help with c only.
(1 point) You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. A. with a mean 18 and a standard deviation 3.87 !! . (a) The distribution of X...
1. Consider a six-faced die whose faces have respective colours red, red, red, blue, blue, green....
1. Consider a six-faced die whose faces have respective colours red, red, red, blue, blue, green. (a) Describe the random variable (i.e. possible outcomes and probability distribution) of a fair die throw (i.e. one where each face ends up on top with equal likelihood). (b) What is the entropy of the random variable of part (a)? (c) Suppose two identical such dice are thrown simultaneously. What is the probability that i. both dice come up red? ii. the dice come...
You and a friend are rolling a set of 6 dice. The game works such that...
You and a friend are rolling a set of 6 dice. The game works such that if a die shows the values 1, 2, or 3 you will get a point for that die. Each die that shows 4, 5, or 6 your friend will get a point for. Construct a probability model for a single roll of the dice then answer the following. A)What is the probability you made 2 points? B)What is the probability that your friend will...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six faces, i.e. a standard dice. The possible outcomes after throwing the dice once are 1, 2,3, 4,5,6 (a) Assume that the dice is thrown once. Let w represents the outcome. Explain why P(w-i) for i = i..6, when the dice is fair (b) The fair dice is thrown twice. Find the probability of occurance of at least one 6 The fair dice is thrown...
6. (15 pts) When a fair dice is thrown, the probability of getting an ace is...
6. (15 pts) When a fair dice is thrown, the probability of getting an ace is p= 1/6. a) (4 pts) If a person throws this dice for four times, what is the probability that he will get no more than one ace? b) 6 pts) If he/she throws this dice for 300 times, what is the probability that he will get more than 55 aces? c) pts) If the dice is not fair, the probability of getting an ace...
In the Going to Boston Dice game, your computer throws three 6-sided dice. On the first throw, th...
in
c++, using this template, try to make it simple.
In the Going to Boston Dice game, your computer throws three 6-sided dice. On the first throw, the h or more of the dice show the highest number, only one is kept). The remain dice is put aside. The final dice is then rolled and the total of all three dice is the computer's score. You have $100 allowance. You wil gain or lose the difference between the computer's throw...
Problem 2. In a cup there is a mixture of 10 dice of different types: ...
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,...
For the two six-sided dice case: Write out the six-by-six matrix showing all possible (36) combinations...
For the two six-sided dice case: Write out the six-by-six matrix showing all possible (36) combinations of outcomes. Draw a histogram of the probability of outcomes for the dice totals. Explain the shape of the histogram. Draw a Venn diagram for the 36 dice roll combinations. Define a set "A" as all the combinations that total seven; define set "B" as all the combinations that have one die roll (either die 1 or 2) equal to 2. Indicate the sets...
1. (25 points 6+6+6+7) For a fair throw of six 6-sided dice (as in the game Farkle): (a) Find the probability of 6 of a kind ANSWER (b) Find the probability of two different triplets. ANSWER (c) Find the probability of a four-of-a-kind and a different pair. ANSWER: (d) Now suppose the six dice are each of a different color and all placed an urn. After having chosen 4 with replacement, find the probability that two or more colors are...
What is the most likely outcome when we throw two fair dice,
i.e., what is the most likely sum that the two dice would add to?
Why? This problem can be solved by first principles. The probability
P(E) for an event E is the ratio |E|/|S|, where |E| is the
cardinality of the event space and |S| is the cardinality of the
sample space. For example, when we throw a fair die, the event
space is S = {1,2,3,4,5,6} and...
Heed help with c only.
(1 point) You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. A. with a mean 18 and a standard deviation 3.87 !! . (a) The distribution of X...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six faces, i.e. a standard dice. The possible outcomes after throwing the dice once are 1, 2,3, 4,5,6 (a) Assume that the dice is thrown once. Let w represents the outcome. Explain why P(w-i) for i = i..6, when the dice is fair (b) The fair dice is thrown twice. Find the probability of occurance of at least one 6 The fair dice is thrown...
6. (15 pts) When a fair dice is thrown, the probability of getting an ace is p= 1/6. a) (4 pts) If a person throws this dice for four times, what is the probability that he will get no more than one ace? b) 6 pts) If he/she throws this dice for 300 times, what is the probability that he will get more than 55 aces? c) pts) If the dice is not fair, the probability of getting an ace...
in
c++, using this template, try to make it simple.
In the Going to Boston Dice game, your computer throws three 6-sided dice. On the first throw, the h or more of the dice show the highest number, only one is kept). The remain dice is put aside. The final dice is then rolled and the total of all three dice is the computer's score. You have $100 allowance. You wil gain or lose the difference between the computer's throw...
Most questions answered within 3 hours.
-
Consider the following reaction at equilibrium. What will happen
if O2 is added to the reaction?...
asked 39 minutes ago -
Based on how much or how little you have noticed in the media,
do you think...
asked 3 hours ago -
I calculate Rosetta Stone’s P/E ratio as 10x prior to a report
about future industry growth....
asked 4 hours ago -
What major physiological changes account for electrodermal
activity (as in during a lie-detector test)?
asked 5 hours ago -
You are going to sell fruits & vegetables at a local
roadside market. List separately and...
asked 6 hours ago -
Hows does water affect the digestion of fats ?
asked 8 hours ago -
A buffer that contains 0.41 M of a base, B and 0.21 M of its
conjugate...
asked 8 hours ago -
Pleaaaaaaaasssssse help me please please it's more important
:((((((((((((((((((((
CASE STUDY
Nissan Company
Nissan Motor Company,...
asked 8 hours ago -
Calculate the concentration of hydronium and hyroxide ions in 1)
2.0 mol/L HNO3 2) 0.5 mol/L...
asked 8 hours ago -
In a loop-the-loop ride a car goes around a vertical, circular
loop at a constant speed....
asked 8 hours ago -
50 grams each of water (18.015 g/mol) and ethylene glycol
(C2H6O2) (62.07 g/mol) are mixed. At...
asked 8 hours ago -
The life expectancy of sport utility vehicles follows a normal
distribution with a mean of 145.8...
asked 9 hours ago