Describe the role of probabilities in statistics

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In this week, we’ve covered the basic knowledge of probabilities as it relates to statistics.
In your initial post try to describe the role of probabilities in statistics. Then provide an example to show how this kind of statistics is being used in our real life. At last but not least, provide a fun probability question along with its solution.
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Follow up posts simply share with us your thoughts about your peers posts. Please provide your feedback to the fun probability question they post. Feel free to post any alternative way to solve the problem.
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