Answers must be in 4 decimalswhich of the following events are mutually exclusive?(A.) A golfer scoring the lowest 18-hole round in a 72-hole tournament and losing the tournament.(B.) A poker player getting a flush (all cards in the same suit) and 3 of a kind in the same 5-hand card(C.) A mother giving birth to a baby girl and a set of twin daughters on the same day.(D.) A chess player losing the last game and winning the match.write all possible answers.

Answered: Image /qna-images/answer/58a9d9a7-667c-4513-8e28-9a1ae26fba9e.jpg

Answered: Which of the following events are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(St. Petersburg Paradox) Suppose a wealthy stranger offers to play the following gamewith you:• You flip a coin until it lands Tails for the first time.• Afterward, you will receive $2 if the game lasted for 1 round, $4 if it lasted for 2 rounds,$8 if it lasted for 3 rounds, or... In general, you will receive $2 if the game lasted forn rounds.(a) What is the PMF for N = the number of rounds this game would last? What is the expected value of X = 2N , the amount of money you would win?(b) Suppose that you know ahead of time that the wealthy stranger will flee ifthe game lasts for more than 50 rounds (i.e. if you land Heads 50 times in a row, theman will interrupt the game and flee without giving you anything at all). What is theexpected value of X? Suppose that instead, the man will limit your winnings to $2.50, i.e. if youland Heads 50 times in a row, they will interrupt the game, pay you the agreed-uponamount of money, and then flee. What is the expected value of X?(c) Can you…
You roll a standard die. (Enter your answers as comma-separated lists.) (a) What are the possible outcomes? (b) What are the favorable outcomes for the event of rolling an odd number? (c) What are the favorable outcomes for the event of rolling a number less than 4?
You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. (a) Are the outcomes on the two cards independent? Why? (b) Find P(ace on 1st card and king on 2nd). (Enter your answer as a fraction.) (c) Find P(king on 1st card and ace on 2nd). (Enter your answer as a fraction.) (d) Find the probability of drawing an ace and a king in either order. (Enter your answer as a fraction.)
Here N=37
[Combinatorics, Conditional Probability and Beyond] Consider a game with n E N participants which are somehow ordered (P₁, P2, ..., Pn). The game starts with the first numbered player (P₁) tosses a fair coin until the first "Tail" appears. By x₁ we denote the number of flips made by P₁. Player P₁ is eliminated from the game if x₁ < y. In this case, the second player tosses a fair coin until the first "Tail" appears. Similarly, by 2 we denote the number of flips made by P2. Player P2 is eliminated from the game if x1 + x2 < y. The game proceeds this way until either the total number of coin flips attains y, or all players are eliminated. All those players who are not eliminated at the end of the game are winners. [This game is an abstract formalization of "crossing the glass bridge” from the popular TV show "Squid Game"]. (a) Calculate the probability that player P₁ wins (express the result as a function of y). (b) Calculate the probability that player P₂ wins (express the result as a…
(c) According to the poker game, each player form sets of five playing cards. (i) Find the probability of a player of holding four aces. (ii) Then compute the probability a player of holding three hearts, one diamond and one club.
Answer
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.) (c) Are the events in part (a) or in part (b) independent? Explain. Since the ball was replaced the events in part (a) are --Select--- ◆ . Not replacing the first ball ---Select--- the sample space thus the events in part (b) were ---Select---
(a) Find the probability of being dealt a "nines over aces" full house (three nines and two aces). (Round your answer to six decimal places.) (b) Find the number of different types of full houses. (Ignoring suit.) ways(c) Find the probability of being dealt a full house. (Round your answer to six decimal places.)
A gambler has a fair coin and a two-headed coin in his pocket. He randomly selects one of the coins. (a) Suppose that he flips the selected coin twice, and both show heads. Find the probability that the selected coin is the fair coin. (b) Suppose that he flips the selected coin four times, and all show heads. Find the probability that the selected coin is the fair coin.
Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA (b) Find PB|A (c) Find PA and B (d) Choose one (are/are not) and (less/equally) The events A and B (choose one) are not independent because if the first component is defective, the second component is (choose one) less likely to be defective.
Suppose events A, B, and C are independent and 1 P(A) + P(B) 4 + P(C) Find the probability. (Enter the probability as a fraction.) P[(A U B) n C]

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