Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.7 - Probability - Exercise Set - Page 1120: 53

Answer

The probability of getting a head in all the six tosses is $\frac{1}{64}$.

Work Step by Step

We know that the probability of getting a head in a single toss of the coin is as given below: Number of favorable out comes $ n\left( e \right)=1$ (head) Number of total out comes $ n\left( s \right)=2$ (head and tail) $ P\left( \text{head} \right)=\frac{1}{2}$ And the probability of getting a head in all the six tosses is as follows: $\begin{align} & P\left( \text{six heads} \right)=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} \\ & =\frac{1}{64} \end{align}$ Hence, the probability that a head will come in all the six tosses is $\frac{1}{64}$.
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