2. Roll two fair dice. (a) How many possible outcomes are there? (b) What probability would...

Question

Question

Answer 1

Answer #1

One Jais olie as G Cutcom both h clice iA indeperdent cmd outcam So, Total outcom 3 4 (b A- Sum 2 2 21) (2,2) (23) (2,4) (2,5

C) please refer to Table 1

Answer 2

Similar Homework Help Questions

Conditional Probability Two fair dice are rolled: (a) Express the sample space S in set builder...

Conditional Probability Two fair dice are rolled: (a) Express the sample space S in set builder notation and the probability P "At least one of the dice rolls a four." Write all possible outcomes of A (b) Consider the event A (c) What is the probability that at least one die rolls a four? (d) What is the conditional probability that the first die rolls a four given that the sum of the dice is six? (e) What is the...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....

3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
4. You roll a fair six-sided dice twice and record the results, in order. The sample...

4. You roll a fair six-sided dice twice and record the results, in order. The sample space is 2,6 6,6) (a) How many possible outcomes are there? (b) What is the probability that the total (sum) of the results is equal to 10? (c) Given that the total is equal to 10, what is the probability that the first roll was a 4? (d) Given that the first roll was not a 4, what is the probability that the total...

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...
We roll two fair 6-sided dice. (1) What is the probability that at least one die...

We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem. Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is...
Rolling Dice 2. A pair of dice is rolled. Here is the sample space (all of...

Rolling Dice 2. A pair of dice is rolled. Here is the sample space (all of the possible outcomes) of rolling a pair of dice. First Die a) In how many different ways can we roll a 7 (as the sum of the two dice)? What is the probability of rolling a 7? 2 3 4 5 6 7 3 4 5 6 7 8 b) In how many ways can we roll a sum that is divisible by 3?...

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independ...

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(5 on green die and 3 on red die). (Enter your answer as a fraction.) 2 (c) Find P(3 on green die and 5 on red die). (Enter your answer as a fraction.) 3 (d) Find P((5 on green die and 3 on red die) or (3 on green die and 5 on red die)). (Enter your answer...
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a...

A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
Problem 3. (10 points) We roll two fair 6-sided dice. (1) What is the probability that...

Problem 3. (10 points) We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem.

Probability and Random Processes for Engineers You roll a fair die twice: all 36 outcomes are...

Probability and Random Processes for Engineers You roll a fair die twice: all 36 outcomes are equally likely. Let A be the event that the first roll is 1, 2, or 3. Let B be the event that the second roll is 6. Finally, let C be the event that the sum of the rolls is even. (a) Show that any two of A, B, and C are independent (b) Are A, B, and C independent? Derive your answer two...