Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 10 Counting Methods and Probability - 10.5 Find Probabilities of Independent and Dependent Events - Guided Practice for Examples 4 and 5 - Page 719: 5

Answer

See below.

Work Step by Step

a) In this case the events are independent, both having probability $\frac{13}{52}$. Thus the probability is: $\frac{13}{52}\frac{13}{52}=\frac{1}{16}$ a) In this case the events are not independent, for the first one has probability $\frac{13}{52}$, and the second one has probability $\frac{13}{51}$, thus the probability is: $\frac{13}{52}\frac{13}{51}=\frac{13}{204}$
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