College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 7 - Section 7.7 - Basics of Probability - 7.7 Exercises - Page 689: 6


The sample space is $S=${$1H;2H;3H;4H;5H;6H;1T;2T;3T;4T;5T;6T$}

Work Step by Step

During the coin toss experiments the letter $H$ means heads and the letter $T$ means tails. The sample space is a set that consists of all the possible results of the experiment. Here, during the dice roll, all 6 numbers on the dice is possible. During the coin toss, both heads and tails are possible outcomes. Therefore there will be $6\times2=12$ possible outcomes. The sample space is $S=${$1H;2H;3H;4H;5H;6H;1T;2T;3T;4T;5T;6T$} (the number represents the dice roll, the letter represents the coin toss).
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