Abstract
This paper suggests a way to include probability ideas in an introductory "service" course in statistics. Many modern service courses focus on data analysis and inference to the exclusion of exposure to the consequences of randomness in real life. It is argued here that a very elementary understanding of probability is all that is required to understand some important features of sports, lotteries, education, investment, medicine, politics, and insurance. For students taking only one course in statistics, these "randomness" topics are more useful than confidence intervals and hypothesis tests, and time saved on a reduction of formal inference procedures can be reallocated to randomness phenomena. This randomness material can complement some descriptive data analysis, to provide a really useful introductory course in statistics.
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