1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, hedecides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of theserolls is 47. Which number occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6 onits sides)2. How many squares of all sizes are there on a standard 8-square by 8-square checkerboard?3. How many toothpicks will be needed to make a 7 x 7 square?

Given, *Six sided die is rolled repeatedly. *He decides to stop rolling as soon as one number{i.e…

Answered: 1. In a class experiment, Miguel rolls…

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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You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $8$ for heads and $⁢22 for tails. Your mother says she wants you to roll a six-sided die. She will give you $4$ times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.
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