14In a competition between players A and B, the first player to win two games in a row or a totalof three games wins. How many ways can the competition be played if A wins the first gameand B wins the second game? O463.

Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Answered: In a competition between players A and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Ali and Ahmet play a game. A fair die is rolled, and each time it is thrown it is equally likely to show any of the six numbers. If it shows 5, Ali wins. If it shows 1, 2 or 6, Ahmet wins. Otherwise, they play a second round and so on. What is P(Ali wins on 5-th round)=? O a. 1/96 O b. 1/162 O c. 1/243 O d. 1/486
Dodgeball There is a dodgeball tournament with 8 teams. The committee has decided the best way to decide who the best team is to have each team play each other once. 1. How many games will there be? 2. If there were 10 teams, how many might there be? 3. How might you find out if there were 100? Or 222? (You do not have to solve. Just explain or show how you would find it.)
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A room has 4 doors. In how many ways can an individual make a trip into this room and out again if he must enter and leave only by means of the doors? a. 24 b 4 c 16 d 8
General: Deck of Cards: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. Are the outcomes on the two cards independent? Why? Find P (3 on 1st card and 3 on 2nd). Find P (10 on 1st card and 3 on 2nd).
A game consists of spinning a spinner and then rolling a number cube. The spinner is equally likely to land on any 1 of the 4 colors red, yellow, green, or blue. The number cube is equally likely to land with any of the 6 sides labeled 1 through 6 up. To win the game, a contestant must either spin red and roll any number or spin a color other than red and roll a 6. In other words, the contestant must either spin red or roll a 6 to win. Draw a rectangular model to go along with this problem.
One version of the card game poker involves dealing each player 5 cards from a standard deck of 52 cards. How many different 5-card poker hands are possible? 311,875,200 b 12,271,512 2,598,960 d. 8,835,488,640 O0O
In the board game Clue, the object of the game is to determine the which character is the murderer, whichweapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestickin the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomesare possible?

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In a competition between players A and B, the first player to win two games in a row or a total of three games wins. How many ways can the competition be played if A wins the first game and B wins the second game? O 4 O 5 O 3