Lemma
MediumConditional probability
OpenStax, Introductory Statistics 2e §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 the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. 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 49ers or Cowboys.
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, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Exercise 17

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