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 886: 54

Answer

$0.837 $ or $83.7 \% $

Work Step by Step

Recall the basic principle of probabilities: $P(\text{an event happens})=1-P(\text{an event does not happen})$ In our case, we have the probability of $16.3 \%=0.163$ that the doctoral recipients gets a degree in engineering. Thus, we simply subtract from $1$ to negate this probability: $P(\text{degree not in engineering})=1-P(\text{degree in engineering})=1-0.163=0.837$ or $83.7\%$
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