You are at a party with 50 people, including yourself. Everyone at theparty is between 18 and 25 years of age, inclusive. You want to make abet that there are at least x people at the party of the same age. Howlarge can you make x and yet be sure to win your bet? Explain youranswer using the generalized pigeonhole principle.

Answered: Image /qna-images/answer/0059a68a-03aa-427a-be92-03cc0ba45940.jpg

Answered: You are at a party with 50 people,…

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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Similar questions

In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who bets $1 on black wins $1 (and gets the $1 bet back) if the ball comes to rest on black; otherwise (if the ball lands on red, 0, or 00), the $1 bet is lost. One option in a roulette game is to bet $8 on red. If the ball lands on red, you get to keep the $8 you paid to play the game, and you are awarded $9. If the ball lands elsewhere, you are awarded nothing, and the $8 that you bet is collected. What is the expected value of the game?
There are 55 customers in the cafeteria, 30 bought either bought coffee or a bagel. There were 35 customers who bought a bagel and 45 who bought coffee. What is the probability of randomly selecting a customer who bought both coffee and a bagel? Show your work on the scratchpad. P (Coffee and Bagel) = Write you answer as a fraction reduced.
If you play this game 150 times, how much would you expect to win or lose?
After giving the lotto a try you decide to go back to Clayton Campus for some more gambling action. Theyare playing a die tossing game where you win a brand new home if you roll all sides of the die within 7rolls. Your crystal ball can see into the future and tells you that when you roll the die 7 times you don't seethe same number appear twice in a row. You decide to bet your entire rent for the year and try to win thehouse. You toss a fair six-sided die 7 times. Consider the following events, A = “each value appears atleast once” and B = “the outcome is alternate in numbers (i.e., a specific face of the die cannot be observed to occur directly after it was observed on the previous roll but it may have occurred elsewhere inthe sequence of rolls)”. What is p(A|B)? Are you likely to win the house?
Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the game on Tuesday night. But you will pay him $3 if his team wins. Your team has an 55% chance of winning, whereas his only has a 45% chance. This bet is in your favor. True or False?
You play a game with two-six sided dice. If you roll a sum of 4 or 7, you win P400 If you roll a sum of 10, you win P200. However, you lose P300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?
Six friends play poker, each starting with $5. All bets are in multiples of $0.10. How many ways are possible for the redistribution of the $30 after the night of poker?
You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. # 3 e d C Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y = the event of landing on yellow. a. C If you land on b. If you land on red, you don't $ 4 r f V % Y, Y, you get you get the biggest prize. Find P(Y). 5 t 8 b 6 Oll y get a prize. What is P(R)? h & 7 n J j * 8 3 ( 9 k O L 0 alt р { ctrl [ + ? 2 backs ] 1
A bowl contains 25 balls, 10 of them are blue, 15 of them are black. You select a ball at random without looking. How many balls should you select to be sure of having at least 4 balls of the same color? Answer:

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