Question

1. Two dice are tossed in a row. Let X be the outcome of the first...

1. Two dice are tossed in a row. Let X be the outcome of the first die, and let Y be the outcome of the second die. Let A be the event that X + Y ≤ 7, and let B be the event that X − Y ≥ 2.

(a) Find P(A).

(b) Find P(B).

(c) Find P(A ∩ B).

(d) Are A and B independent?

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
You roll two six-sided fair dice. a. Let A be the event that the first die...
You roll two six-sided fair dice. a. Let A be the event that the first die is even and the second is a 2, 3, 4 or 5. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is a 7. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the ordered pair (number of dots on the first die, number of dots on the second die), write down the sample space for the experiment. (So a roll of “1 dot” on the first die and a roll of “3 dots” on the second die would be the ordered pair (1, 3) in the sample space S.) You can think of the first die as...
Question: Q1) An experiment consists of rolling two fair dice and recording the outcome as an...
Question: Q1) An experiment consists of rolling two fair dice and recording the outcome as an ordered pair: (#1st die, #2nd die). a. Find the sample space S of the experiment (list each outcome). b. Let A be the event that the sum of the dice is 4. Find A and P(A) c.Let B be the event that at least one of the dice lands on 3. Find B and P(B). d. Find A n B and P(A n B)...
Consider the experiment of tossing 2 fair dice independently and let X denote their difference (first...
Consider the experiment of tossing 2 fair dice independently and let X denote their difference (first die minus second die). (a) what is the range of X? (b) find probability that X=-1. (c) find the expected value and variance of X. Hint: let X1, X2 denote #s on the two dice and write X=X1-X2
Roll a die and let its outcome be the random variable X. Let Y be the...
Roll a die and let its outcome be the random variable X. Let Y be the random variable of “sum of X many dice rolled”. So, if X is 3, then we roll 3 dice and add the faces together to find Y . (a) Are X and Y independent? Explain. (b) Compute E[Y]
Roll a die and let its outcome be the random variable X. Let Y be the...
Roll a die and let its outcome be the random variable X. Let Y be the random variable of “sum of X many dice rolled”. So, if X is 3, then we roll 3 dice and add the faces together to find Y . (a) Are X and Y independent? Explain. (b) Compute E[Y]
Consider a game where two 6-sided dice are rolled. - Let X be the minimum of...
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.
Roll a pair of fair dice. Let X be the number of ones in the outcome...
Roll a pair of fair dice. Let X be the number of ones in the outcome and let Y be the number of twos in the outcome. Are X and Y independent?
Two dice are thrown. Let E be the event that the sum of the dice is...
Two dice are thrown. Let E be the event that the sum of the dice is even, let F be the event that the first die lands on 1, and let G be the event that the sum is 8. Describe the events EF, E ∪ F, F G, EF0 , EF G and find the probability that each occur.
You roll two six-sided fair dice. a. Let A be the event that either a 3...
You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) =   Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. P(B) =  Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually Exclusive d....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT