Probability of Compound Events

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Presentation transcript:

Probability of Compound Events Lesson 12-9 Pages 650-655 Probability of Compound Events

What you will learn! How to find the probability of independent and dependent events. How to find the probability of mutually exclusive events.

Mutually exclusive events Vocabulary Compound events Independent events Dependent events Mutually exclusive events

What you really need to know! Probability of Two Independent Events Found by multiplying the probability of the first event by the probability of the second event P(A and B) = P(A) • P(B)

What you really need to know! Probability of Two Dependent Events Is the product of the probability of A and the probability of B after A occurs P(A and B) = P(A) • P(B following A)

What you really need to know! Probability of Mutually Exclusive Events Found by adding the probability of the first event to the probability of the second event P(A or B) = P(A) + P(B)

Example 1: In a popular dice game, the highest possible score in a single turn is a roll of five of a kind. After rolling one five of a kind, every other five of a kind you roll earns 100 points. What is the probability of rolling two five of a kinds in a row?

When rolling 5 die, there are 65 possible outcomes. 7,776. Example 1: These events are independent. Each roll of the dice does not affect the outcome of the next roll. When rolling 5 die, there are 65 possible outcomes. 7,776. There are 6 ways to get 5 of a kind.

Example 1: The probability of rolling one 5 of a kind is 6 : 7,776 which means 1 : 1,296 Two in a row would be:

Example 2: Charlie’s clothes closet contains 3 blue shirts, 10 white shirts, and 7 striped shirts. What is the probability that Charlie will reach in and randomly select a white shirt followed by a striped shirt?

Example 2: These events are dependent. The selection of the first shirt reduces the number of shirts to pick from. 7 striped shirts 10 white shirts 20 shirts in all 19 shirts left

Example 3: You draw a card from a standard deck of playing cards. What is the probability that the card will be a black nine or any heart?

Example 3: The events are mutually exclusive because the card can not be both a black nine and a heart at the same time. 13 hearts 2 black nines 52 cards in deck 52 cards in deck

Page 653 Guided Practice #’s 4-10

Pages 650-652 with someone at home and study examples! Read: Pages 650-652 with someone at home and study examples!

#’s 11-18, 21-28, 33, 34, 36-50 Homework: Pages 653-655 Lesson Check 12-9

Page 755 Lesson 12-9

P(13 or even)

(Odd answers in back of book) Study Guide and Review Pages 658-662 #’s 1-30 or 19-30 (Odd answers in back of book)

Prepare for Test! Page 663 #’s 1-20 or 10-20 Lesson Check 12-9

Prepare for Test! Pages 664-665 #’s 1-19