College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 10 - Section 10.3 - Probability - 10.3 Assess Your Understanding - Page 705: 12


$\begin{array}{cc} &\bf{\text{Outcome}} &\bf{\text{Probability}} \\&HH &0.25 \\&HT &0.25 \\&TH &0.25 \\&TT &0.25\end{array} $ Note: HH means the outcome is head-head

Work Step by Step

Let H = the outcome of a toss is a head T = the outcomes of a toss is a tail In tossing two fair coins once, the possible outcomes are: HH, HT, TH, TT. Thus, the sample space is: $S=\left\{HH, HT, TH, TT\right\}$ Since the coin is fair, the outcomes of the sample space are equally likely to occur. Thus, each outcome has a probability of $0.25$ or $\frac{1}{4}$. Therefore, the probability model is: $\begin{array}{cc} &\bf{\text{Outcome}} &\bf{\text{Probability}} \\&HH &0.25 \\&HT &0.25 \\&TH &0.25 \\&TT &0.25\end{array} $ Note: HH means the outcome is head-head
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