Question

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

Probability and Random Processes for Engineers

0 0
Add a comment Improve this question Transcribed image text
Answer #1

A = {(1.1) (1,2) .. . (,6) 13/1) 12,2) ... (2,6) B1) (3,2) - .. (1) B= {(1,6) (2,6) @ 6) 68,6) 56), 6,613 C=(1,1) (13) (,5) (

Add a comment
Know the answer?
Add Answer to:
Probability and Random Processes for Engineers You roll a fair die twice: all 36 outcomes are...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A2. (a) We roll a fair die twice. Describe a sample space to model this experiment....

    A2. (a) We roll a fair die twice. Describe a sample space to model this experiment. C4. Consider Problem A2 (a) in Homework 1. Suppose that all the outcomes in the sample space are equally. Let Ai be the event that the sum of the two numbers is greater than 9. Let A2 be the event that both numbers are identical (a) Construct a probability model for this experiment (Specify the general (b) List the outcomes in event A1, and...

  • Question 5: You are given a fair red die and a fair blue die, and roll...

    Question 5: You are given a fair red die and a fair blue die, and roll both dice uniformly at random and independently of each other. Define the events A = “the sum of the results is at least 9”, B = “at least one of the two rolls results in a 2”, C = “at least one of the two rolls results in a 5”. • Determine Pr(A), Pr(B), and Pr(C). • Determine Pr(B | C). • Are the...

  • A single die is rolled twice. The 36 equally likely outcomes are shown to the right.

    A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2. The probability of getting two numbers whose sum is 2 is (Type an integer or a simplified fraction.)

  • Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random...

    Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...

  • Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A...

    Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.What is P(A), the probability that the six-sided die is an even number?What is P(B), the probability that the four-sided die is an odd number?What is P(A...

  • A 6-sided die rolled twice. Let E E be the event "the first roll is a...

    A 6-sided die rolled twice. Let E E be the event "the first roll is a 2" and F F the event "the second roll is a 2". (a) Are the events E and F independent? Yes or No: (b) Find the probability of showing a 2 on both rolls. Write your answer as a reduced fraction.

  • We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to...

    We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].

  • You roll a die 2 times. The event A is that you get '3' in the...

    You roll a die 2 times. The event A is that you get '3' in the first roll. The even B is that the sum in 2 rolls is 5. Are these 2 events independent?

  • A 6-sided die rolled twice. Let E be the event "the first roll is a 5"...

    A 6-sided die rolled twice. Let E be the event "the first roll is a 5" and F F the event "the second roll is a 5". (a) Are the events E E and F F independent? Input Yes or No: (b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction. Answer:

  • I want help to solve this question (3) A fair die is rolled twice, independently. (a)...

    I want help to solve this question (3) A fair die is rolled twice, independently. (a) Consider the events: A = "the first number that show up is a 6"| B = "the sum of the two numbers obtained is equal to 7" C=" the sum of the two numbers obtained is equal to 7 or 11“ (i) Calculate P(BIC) (ii) Calculate P(A|B) (iii) Are A and B independent events? (b) Considering rolling two dice. Knowing that an even number...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT