1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, he decides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of these rolls is 47. Which number occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6 on its sides)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, he
decides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of these
rolls is 47. Which number occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6 on
its 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?
Transcribed Image Text:1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track of each number he rolls, he decides to stop as soon as one number is rolled three times. Miguel stops after the 12th roll, and the sum of these rolls is 47. Which number occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6 on its 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?
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