ZuoTi.Pro
Question

A fair four-sided die is rolled twice. Consider the following events: Sx = Sum of the...

A fair four-sided die is rolled twice. Consider the following events:
Sx = Sum of the numbers on the two rolls is equal to x (x = 2,3,...,8). Fy = The numbers on the first roll is equal to y (y = 1,2,3,4).

(a) P(F4)

(b) P(S8)

(c) P(S8 \ F4)

(d) P(S8 \ F4)

engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

two dice au rolled sum of Two dice all بد a 1 4 1 5 4 2 3 5 3 4 7 6 3 4 5 7 5 6 4 (2, 1) (1,2) (1,3) (1,4) (2,1) (2,Q) (2,3)P(S80 F4) d) p(SE/F 4) = PCF) 4/6 7/16 - 1 7 same questións Here, ced

0 0
Add a comment
Know the answer?
Add Answer to:
A fair four-sided die is rolled twice. Consider the following events: Sx = Sum of the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • 1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled...

    1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...

  • 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...

  • A tetrahedron (four-sided die) is rolled twice and the sum X of k is the results...

    A tetrahedron (four-sided die) is rolled twice and the sum X of k is the results of the two rolls is recorded. We know that the chance that X proportional to k. (a) What is the probability model for X, i.e., uhat values can X take, and what are the corresponding probabilities? (b) Compute the chance that the sum of the two rolls will erceed but ill not be more than b (c) Compute the erpected value of x.

  • Determine whether the events A and B are independent. A balanced die is rolled twice. Event...

    Determine whether the events A and B are independent. A balanced die is rolled twice. Event A: The sum of the two rolls is 6 Event B: The first roll comes up 2 A. False B. True

  • 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].

  • 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.

  • 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:

  • 7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities...

    7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...

  • Suppose Jane has a fair 4-sided die, and Dick has a fair 6-sided die.

    1. Suppose Jane has a fair 4-sided die, and Dick has a fair 6-sided die. Each day,they roll their dice (independently) until someone rolls a “1”. (Then the personwho did not roll a “1” does the dishes.) Find the probability that …a) they roll the first “1” at the same time (after equal number of attempts);b) it takes Dick twice as many attempts as it does Jane to roll the first “1”;c) Dick rolls the first “1” before Jane does.

  • In this experiment, both a fair four-sided die and a fair six-sided die are rolled (these...

    In this experiment, both a fair four-sided die and a fair six-sided die are rolled (these dice both have the numbers most people would expect on them). Let Z be a random variable that represents the absolute value of their difference. For instance, if a 4 and a 1 are rolled, the corresponding value of Z is 3. (a) What is the pmf of Z? (b) Draw a graph of the cdf of Z

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