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<h2 class="hd hd-2 unit-title">1.1 Set theory</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">1.2 Operating rules</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">1.3 Conditional probability</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">1.4 Total probability theorem</h2>
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<h3 class="hd hd-2">Video</h3>
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<h2 class="hd hd-2 unit-title">Chapter 1 Homework</h2>
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<p style="margin: 0in; text-align: justify; text-justify: inter-ideograph;"><b><span style="font-family: 'Times New Roman',serif;">Problem:</span></b><span style="font-family: 'Times New Roman',serif;"> </span><span style="font-family: 'Times New Roman',serif; mso-fareast-font-family: DengXian;">A slope may fail either due to an extreme rainfall (<i>R</i>) or a strong earthquake (<i>E</i>). During an extreme rainfall, the failure probability of the slope is 0.1. During a strong earthquake, the failure probability of the slope is 0.15. The annual chances of an extreme rainfall and a strong earthquake are 0.01 and 0.002, respectively. Suppose that the chance that an extreme rainfall and a strong earthquake occur simultaneously is negligible. What is the annual failure probability of the slope?</span><span style="font-family: 'Times New Roman',serif;"><o:p></o:p></span></p>
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