13. Determine if each player has an equal probability of winning each of the following games:a. Toss a fair coin. If heads appears, I win; if tails appears, you lose.b. Toss a fair coin. If heads appears, I win; otherwise, you win.d.c. Toss a fair die numbered 1 through 6. If 1 appears, I win; if 6 appears, you win.Toss a fair die numbered 1 through 6. If an even number appears, I win; if an oddnumber appears, you win.e. Toss a fair die numbered 1 through 6. If a number greater than or equal to 3 appears,I win; otherwise, you win.f.Toss two fair dice numbered 1 through 6. If a 1 appears on each die, I win; if a 6appears on each die, you win.g. Toss two fair dice numbered 1 through 6. If the sum is 3, I win; if the sum is 2, youwin.h. Toss two dice numbered 1 through 6; one die is red and one is white. If the numberon the red die is greater than the number on the white die, I win; otherwise, you win.

Answered: Image /qna-images/answer/3a8bb0c7-54c3-4b22-892c-1dcd6f2399af.jpg

Answered: 13. Determine if each player has an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the probability of the following. Write your answer on the space provided. (20 Points) 1. If one card is shown from an ordinary deck of cards, find the probability of getting the following. a. A king or a queen c. A club or a heart or a spade d. An Ace or a diamond b. A king or a queen or a diamond
Match Column A with the correct Probability in Column B. Write only the letter of your answer on the space provided on Column B's right side. Column A Column B Answers 1. Find the Probability of rolling a fair die having a composite number. A. 0.08 B. 0.30 2. When you roll a fair dice, what is the probability of having multiples of three? 3. Determine the probability of drawing a red card from a deck of cards. C. 0.33 4. What is the probability of drawing a "6" card from a deck of cards? D. 0.50 5. A bag contains 6 red sweets and 14 blue sweets. A sweet is taken at random from the bag. What is the probability that it is a red sweet?
Please show your solution. If a pair of dice is rolled, what is the probability of getting a a.) sum of 10? b.) sum of 9? c.) sum of at least 8? d.) sum of at most 6?
Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b. What is the probability of losing a game? Your answer is Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is
Two dice are rolled. Find the probability of getting doubles or a sum of 12. O 2 O 5 18 O 1 116
An urn contains 6 red marbles, 8 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white. Submit Question
Assume. that the probability that any child born in the population will be a boy is 0.51 and the probability that it will be a girl is 0.49. If a family has six children, what is the probability they will have 3 boys and 3 girls?
Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)

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