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 2 and 3 - Page 718: 2



Work Step by Step

Let events $A$, $B$, and $C$ be getting a perfect square in the first, second, and third spins, respectively. The three events are independent. The probability of getting a perfect square in each of the spins is $\frac{3}{10}$ because there are $3$ perfect squares out of the first ten integers. Hence the probability: $P(\text{A and B and C})=P(A)P(B)(P(C)=\frac{3}{10}\frac{3}{10}\frac{3}{10}=\frac{27}{1000}$
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