Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.3 Probability - 12.3 Assess Your Understanding - Page 885: 12

Answer

$S=\{HH, HT, TH, TT \}$, $P(HH)=P(HT)=P(TH)=P(TT)=\frac{1}{4}$.

Work Step by Step

A fair coin has two sides: head (H) or tail (T), each has the same chance $\frac{1}{2}$ to appear. For tossing two fair coins once, we can construct the sample space as $S=\{HH, HT, TH, TT \}$ and the probabilities of each outcome are: $P(HH)=P(HT)=P(TH)=P(TT)=\frac{1}{4}$.
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