If I have two dice A and B, and I roll it twice, we have the...

If I have two dice A and B, and I roll it twice, we have the outcomes A1, A2, B1, B2. Let X = A1+ A2, Y= B1+B2. What is the probability of X+Y <= 22.

Expert Solution

Classical probability approach to find a distribution

milcah answered 1 year ago

Two players A and B play a game of dice . They roll a pair of...

Two players A and B play a game of dice . They roll a pair of dice alternately . The player who rolls 7 first wins . If A starts then find the probability of B winning the game ?

We will simulate a dice game in which 2 dice are thrown. If the roll is...

We will simulate a dice game in which 2 dice are thrown. If the roll is 7 or 11, you win. If the roll is 2, 3, or 12, you lose If the roll is any other value, it establishes a point. If with a point established, that point is rolled again before a 7, you win. If, with a point established, a 7 is rolled before the point is rolled again you lose. Build your algorithm incrementally. First write...

What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?

Consider the following experiment: we roll a fair die twice. The two rolls are independent events....

Consider the following experiment: we roll a fair die twice. The two rolls are independent events. Let’s call M the number of dots in the first roll and N the number of dots in the second roll. (a) What is the probability that both M and N are even? (b) What is the probability that M + N is even? (c) What is the probability that M + N = 5? (d) We know that M + N = 5....

You roll two fair dice. Let A be the event that the sum of the dice...

You roll two fair dice. Let A be the event that the sum of the dice is an even number. Let B be the event that the two results are different. (a) Given B has occurred, what is the probability A has also occurred? (b) Given A has occurred, what is the probability B has also occurred? (c) What is the probability of getting a sum of 9? (d) Given that the sum of the pair of dice is 9...

1. Assume we roll 6 dice. What is the probability that the roll contains: a. 6...

1. Assume we roll 6 dice. What is the probability that the roll contains: a. 6 of the same number b. 3 of one number, 2 of a second number, and 1 non-matching number c. 3 pairs of different numbers

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice. Determine the space of elementary events and P (A∪B) and check the independence of events A and B, if event A consists in the fact that on dice we have odd number, B that on coin we have heads twice and on dice we have number lower than 3.

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice. Determine the space of elementary events and P (A∪B) and check the independence of events A and B, if event A consists in the fact that on dice we have even number, B that on coin we have heads twice and on dice we have number lower than 3.

suppose you roll two fair dice. A) what is the probability that you will roll an...

suppose you roll two fair dice. A) what is the probability that you will roll an even number on the first die AND a 5 on the second die B) What is the probability that the sum of the numbers on the two dice is 9? show all work.

Fair Dice We roll a fair dice 10 times and register how many times we obtained...

Fair Dice We roll a fair dice 10 times and register how many times we obtained 5. (a) Find the probability to obtain 5 seven times. (b) Estimate the number of fives that will come out with the probability 0.35. (c) What is the probability of geting 30 fives when rolling a fair dice 45 times? (d) How many fives will come out with a probability of 0.25, when rollong a fair dice 45 times?

Question

If I have two dice A and B, and I roll it twice, we have the...

Solutions

Expert Solution

Related Solutions

Two players A and B play a game of dice . They roll a pair of...

We will simulate a dice game in which 2 dice are thrown. If the roll is...

What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?

Consider the following experiment: we roll a fair die twice. The two rolls are independent events....

You roll two fair dice. Let A be the event that the sum of the dice...

1. Assume we roll 6 dice. What is the probability that the roll contains: a. 6...

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

Let’s have a dice and a coin. Randomly throw the dice once and the coin twice....

suppose you roll two fair dice. A) what is the probability that you will roll an...

Fair Dice We roll a fair dice 10 times and register how many times we obtained...