Answer
$0.333$
Work Step by Step
If the professor said the truth, there are 3 opportunities: heads-tails, tails-heads, heads-heads. One outcome is good for us ehre, therefore the probability of both of them being heads is: $\frac{1}{3}=0.333$
Elementary Statistics (12th Edition)
by Triola, Mario F.
Published by
Pearson
ISBN 10:
0321836960
ISBN 13:
978-0-32183-696-0
Chapter 4 - Probability - 4-5 Multiplication Rule: Complements and Conditional Probability - Beyond the Basics - Page 175: 34
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