Data Analysis and ProbabilityUnderstanding IikelihoodSadieEspañolThere are two boxes containing only red and black pens.Box A has 4 black pens and 4 red pens.Box B has 5 black pens and 15 red pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing an orange pen from Box B.Event 2: choosing a black pen from Box B.Event 3: choosing a black or red pen from Box A.Event 4: choosing a black pen from Box A.\begin{tabular}{|c|c|c|}\hline Least likely & ⟶ & Most likely \\\hline Event [్] & Event □, Event □ & Event □ \\\hline\end{tabular}
Q. Data Analysis and ProbabilityUnderstanding IikelihoodSadieEspañolThere are two boxes containing only red and black pens.Box A has 4 black pens and 4 red pens.Box B has 5 black pens and 15 red pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing an orange pen from Box B.Event 2: choosing a black pen from Box B.Event 3: choosing a black or red pen from Box A.Event 4: choosing a black pen from Box A.\begin{tabular}{|c|c|c|}\hline Least likely & ⟶ & Most likely \\\hline Event [్] & Event □, Event □ & Event □ \\\hline\end{tabular}
Calculate Event 1 Probability: Calculate the probability of Event 1: choosing an orange pen from Box B.Since there are no orange pens in Box B, the probability is 0.
Calculate Event 2 Probability: Calculate the probability of Event 2: choosing a black pen from Box B. There are 5 black pens out of 20 total pens in Box B. Probability =205=41.
Calculate Event 3 Probability: Calculate the probability of Event 3: choosing a black or red pen from Box A.Since all pens in Box A are either black or red, the probability is 1.
Calculate Event 4 Probability: Calculate the probability of Event 4: choosing a black pen from Box A.There are 4 black pens out of 8 total pens in Box A.Probability =84=21.
List Events by Probability: List the events from least likely to most likely based on the calculated probabilities.Least likely: Event 1 (0 probability)Next: Event 2 (41 probability)Next: Event 4 (21 probability)Most likely: Event 3 (1 probability)
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