FM.P.3
Understand and use the multiplication rule to calculate probabilities for independent and dependent events. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
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 candy is chosen from the bag at random.
Find the probability that the candy is: Not Orange
Two fair 6-sided dice are rolled. What is the probability that both show a prime number?
Write your answer as a fraction.
Write your answer as a fraction.
A fair coin is flipped three times. What is the probability of getting exactly two heads?
Write your answer as a fraction.
Write your answer as a fraction.
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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