AFM.AQR.6.2
Apply the axioms of probability to determine the probability of dependent and independent events, including use of the multiplication rule for independent events.
Example Problems
Five fair six‑sided dice are rolled simultaneously.
What is the probability that exactly two of the dice show a ?
What is the probability that exactly two of the dice show a ?
Eight friends sit randomly in a straight row of 8 seats.
What is the probability that Charlie and Dana sit next to each other (in either order)?
What is the probability that Charlie and Dana sit next to each other (in either order)?
Seven friends take random seats in a straight row of 7 chairs.
What is the probability that Alice sits in one end seat and Bob sits in the other end seat?
What is the probability that Alice sits in one end seat and Bob sits in the other end seat?
Khan Academy ResourcesTree diagrams and conditional probabilityPermutationsCombinationsProbability with permutations and combinationsInterpret probabilities of compound eventsProbability with general multiplication ruleDependent probability introductionCompound probability of independent eventsProbability using combinationsIndependent events example: test takingWays to arrange colorsWays to pick officersCombination example: 9 card handsExample: Lottery probabilityExample: Different ways to pick officersMega millions jackpot probabilityProbability with combinations example: choosing groupsPermutation formulaCombination formulaProbability with permutations & combinations example: taste testingPossible three letter wordsHandshaking combinationsGeneral multiplication rule example: independent eventsProbability with combinations example: choosing cardsFactorial and counting seat arrangementsInterpreting general multiplication ruleGeneral multiplication rule example: dependent eventsZero factorial or 0!Intro to combinationsConditional probability tree diagram example

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