The probability of event P happening is 0. 34

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Presentation transcript:

The probability of event P happening is 0. 34 The probability of event P happening is 0.34. The probability of event Q happening is 0.47. The probability of event P or event Q happening is 0.51. What is the probability of event P and event Q happening? Problem of the Day

Section 0-6 Multiplying Probabilities

Objectives Find probabilities of independent and dependent events. Use two-way frequency tables to find conditional probabilities. Objectives

If the occurrence of one event does not affect the probability of a second event occurring then the two events are independent events. Vocabulary

A coin is tossed and a die is rolled A coin is tossed and a die is rolled. What is the probability of the coin landing on tails and rolling a 3? Example 1

If the occurrence of one event does affect the probability of a second event occurring then the two events are dependent events. Vocabulary

A bag contains 12 red, 9 blue, 11 yellow, and 8 green marbles A bag contains 12 red, 9 blue, 11 yellow, and 8 green marbles. If two marbles are drawn at random and not replaced, what is the probability that a red and then a blue marble is drawn? Example 2

Determine whether the following is a dependent or independent event, then find the probability: A class has 12 boys and 3 girls. If three students are selected at random from the class, what is the probability that the three selected are all boys (boy 1st and boy 2nd and boy 3rd)? Once selected, they can’t be selected again. Examples

Determine whether the following is a dependent or independent event, then find the probability: Three cards are selected from a standard deck and placed back into the deck after it is recorded. Find the probability of selecting a king, then a queen, and then another queen. Examples

Determine whether the following is a dependent or independent event, then find the probability: A coin is tossed and a die is rolled. Find the probability of getting a head and then rolling a 6. Examples

Determine whether the following is a dependent or independent event, then find the probability: If you have 8 action, 3 comedy, and 5 drama DVD’s on a shelf. Find the following probability of randomly selecting 2 action and then a comedy, without replacement. Examples

p.P19 #1 – 12 Homework