# Chapter 10 Counting Methods and Probability - 10.5 Find Probabilities of Independent and Dependent Events - Guided Practice for Examples 6 and 7 - Page 721: 8

$0.52$

#### Work Step by Step

Following the example, the probability is: $P(\text{C})=P(\text{A and C})+P(\text{B and C})=P(A)P(C|A)+P(B)P(C|B)=0.6\cdot0.8+(1-0.6)(0.1)=0.52$

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