Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 748: 80

Answer

See below.

Work Step by Step

We know that $P(\text{A and B})=P(A)P(B|A)$ when the events are dependent. Hence here the exercise can be to find the probability of drawing $2$ hearts from a 52-card deck in a row when drawing without replacement.
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