AFDA.DA.3

The student will calculate and interpret probabilities, including those in contextual situations.

AFDA.DA.3.aAnalyze, interpret, and make predictions based on theoretical probability.AFDA.DA.3.bCalculate conditional probabilities for dependent, independent, and mutually exclusive events.AFDA.DA.3.cRepresent and calculate probabilities using Venn diagrams, probability trees, organized lists, two-way tables, simulations, or other probability models.AFDA.DA.3.dInterpret probabilities from simulations or experiments to make informed decisions and justify the rationale.AFDA.DA.3.eDefine and give contextual examples of complementary, dependent, independent, and mutually exclusive events.AFDA.DA.3.fGiven two or more events in a problem setting, determine whether the events are complementary, dependent, independent, and/or mutually exclusive.AFDA.DA.3.gCompare and contrast permutations and combinations, including those in contextual situations.AFDA.DA.3.hCalculate the number of permutations of 𝑛 objects taken 𝑟 at a time, without repetition.AFDA.DA.3.iCalculate the number of combinations of 𝑛 objects taken 𝑟 at a time, without repetition.
Example Problems
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Not Orange
A letter is selected at random from the word F I B O N A C C I.

Find the probability that the letter is:
Not A
Write your answer as a fraction or as a decimal rounded to the nearest hundredth.
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Yellow
Goblins

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