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OpenStax, Statistics §3.2 Independent and Mutually Exclusive Events · Exercise 17 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Exercise 17

A previous year, the weights of the members of a California football team and a Texas football team were published in a newspaper The factual data are compiled into.

\begin{array}{|c|c|c|c|c|}\hline \text{Shirt#} & \text{≤ 210} & \text{211–250} & \text{251–290} & \text{290≤} \\ \hline \text{1–33} & \text{21} & \text{5} & \text{0} & \text{0} \\ \hline \text{34–66} & \text{6} & \text{18} & \text{7} & \text{4} \\ \hline \text{66–99} & \text{6} & \text{12} & \text{22} & \text{5} \\ \hline\end{array}
For the following, suppose that you randomly select one player from the California team or the Texas team.
If having a shirt number from one to 33 and weighing at most 210 pounds were independent events, then what should be true about P(Shirt# 1–33|≤ 210 pounds)?

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OpenStax, Statistics · §3.2 Independent and Mutually Exclusive Events · Exercise 17

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