Question

Write a program that simulates a throw of two 900-sided dice and indicates whether or not the sum of the results is divisible by three?

Answer #1

Required code in C++ -->

#include <iostream>

#include <random>

int main()

{

std::random_device rd;

std::mt19937 gen(rd());

std::uniform_int_distribution<> distr(1, 900);

int x=distr(gen); // a random value will be stored in x

std::cout<<"we get"<<x<<"\n"; // x will be
displayed

int y=distr(gen); // a random value will be stored in y

std::cout<<"we get"<<y<<"\n"; // y will be
displayed

int sum=x+y; // addition of x,y will be stored in sum

if(sum%3==0){ // if sum is divisible by 3

std::cout<<"Divisible by 3"; // output - divisible by 3

}

else{

std::cout<<"Not Divisible by 3"; //else not divisible

}

}

Use MATLAB
Write a script that simulates a dice throw, randomly printing to
the screen (with equal probability) one of the integers from 1 to
6. Call your script DiceThrow.m
EXTRA CREDIT (100%) Write a script that simulates a loaded dice
throw, randomly printing to the screen one of the integers from 1
to 6, but with 6 twice as likely as all the others. Call your
script LoadedDiceThrow.m

I need this coded in
R:
I have a program that
simulates a fair dice. The program rolls a fair coin 100 times and
counts the number of 1's. The simulation is repeated 10^5 times and
stored the outcomes in x and a histogram is plotted.
I need to now draw a
bell curve showing normal/gaussian distribution over the
histogram.
Code I have:
dice <- function(n) {
sample(c(1:6),n,replace = TRUE)
}
x<-dice(100)
x<-numeric(10^5)
for(n in 1:10^5){
x[n]<-sum(dice(100)==1)
}
hist(x,
main="100...

An experiment consists of rolling two 6-sided dice. Find the
probability that the sum of the dice is at most 5. Write your
answer as a simplified fraction, i.e. a/b

Throw two dice. If the sum of the two dice is 7 or more, you win
$15. If not, you pay me $17.
Step 1 of 2 :
Find the expected value of the proposition. Round your answer to
two decimal places. Losses must be expressed as negative
values.

Consider a game where two 6-sided dice are rolled.
- Let X be the minimum of the two dice
- Let Y be the sum of the two dice
- Let Z be the first die minus the second die.
Write out the distributions of X, Y, and Z, respectively.

Throw two dice. If the sum of the two dice is 6 or more, you win
$14. If not, you pay me $29. If you played this game 964 times how
much would you expect to win or lose? Round your answer to two
decimal places. Losses must be answered as negative.

Suppose you roll, two
6-sided dice Write any probability as a decimal to three place
values and the odds using a colon. Determine the following:
1. The probability
that you roll a sum of seven (7)
2. The odds for
rolling a sum of four (4) is
3. The odds against
the numbers on both dice being the same is
Suppose you have a bag
with the following marbles: four (4) red, six (6) pink, two (2)
green, and seven...

For the following questions, find the
probability using a standard 6-sided die or two 6-sided dice. Write
your answer as a fraction or with a colon in lowest terms.
Rolling a single die, what is the probability of rolling an
even number?
Rolling a single die, what is the probability of rolling a
5?
Rolling a single die, what is the probability of rolling a
7?
Rolling a single die, what is the probability of rolling a
number less than...

Four fair six sided dice are rolled. Given that at least two of
the dice land on an odd number, what is the probability that the
sum of the result of all four dice is equal to 14?

(5) Rolling two four-sided dice, what’s the likelihood of
getting the same result (i.e., the same sum) twice in a row?
(5) Rolling three four-sided dice, what is the probability of
totaling at least 9?
(5) Rolling three four-sided dice twice, what is the expected
total?
(5) Rolling three four-sided dice twice, what is the
probability of actually getting exactly the expected total
from Problem 8?
(10) Rolling three four-sided dice twice, what is the
probability of the second total...

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