WARM UP 1) What is the probability of randomly picking a RED CARD from a standard deck? 2) What is the probability of randomly picking a KING from a standard.

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WARM UP 1) What is the probability of randomly picking a RED CARD from a standard deck? 2) What is the probability of randomly picking a KING from a standard deck? 3) What is the probability of rolling a sum of nine on two dice? 4) In how many ways can you have a five digit ID with your three initials?

Situational Probabilities

Two-way Table Make a two way table to help you organize information. Make a two way table to help you organize information. Who?Who?TOTAL What? What? TOTAL Question: Do you eat breakfast regularly?

Two-way Table MaleFemaleTOTAL Eats Breakfast Regularly Doesn’t Eat Breakfast Regularly TOTAL Question: Do you eat breakfast regularly?

SINGLE EVENTS What is the p(face card) from a standard deck of cards? What is the p(hearts) from a standard deck of cards? 12/52 13/52

COMBINING EVENTS What is the p(face cards and hearts)? What is the p(face cards and hearts)? Make a Venn Diagram Make a Venn Diagram

FACE CARDS HEARTS Face Cards & Hearts SAMPLE SPACE (everything else) Event A = Face cards Event B = Hearts P(A) =P(A) = 12/52 P(B) =P(B) = 13/52 P(A and B) = 3/52 P(A or B) = 22/52

Probability Notation not A AcAcAcAc Complement of A A and B A ∩ B Intersection of A and B A or B A U B Union of A and B

COMPLEMENT of an EVENT Find the complement of the following: Find the complement of the following: a. 63% b. 4/5 100% - 63% = 37% 5/5 – 4/5 = 1/5

Mutually Exclusive Events Two events, A and B, that cannot occur at the same time. Two events, A and B, that cannot occur at the same time. Example: Fly a plane and drive a car at the same time (its impossible!) Example: Fly a plane and drive a car at the same time (its impossible!) KEY WORDS: OR, EITHER KEY WORDS: OR, EITHER p(A or B) = p(A) + p(B) p(A U B) = p(A) + p(B)

Spoiled Brats Czarnecki has been shopping around for a new HOT ROD!! The probability a customer will buy an JEEP is 0.23 and the probability that a customer will buy a BMW is Czarnecki has been shopping around for a new HOT ROD!! The probability a customer will buy an JEEP is 0.23 and the probability that a customer will buy a BMW is What is the probability that Mark will buy EITHER of these two Cars? What is the probability that Mark will buy EITHER of these two Cars? = 0.32

CRAPS Two dice are rolled. What is the probability that the sum of the dots appearing on both dice together is a 7 OR 11? Two dice are rolled. What is the probability that the sum of the dots appearing on both dice together is a 7 OR 11? 6/36 + 2/36= 8/36 = ,3 3,4 2,5 5,2 1,6 6,1 5,6 6,5

OVERLAPPING Events Addition Rule: Addition Rule: p(A or B) = p(A) + p(B) – p(A and B) SUBTRACT OUT THE OVERLAPPING PART OF THE EVENT!

CARDS WHAT IS THE PROBABILITY OF SELECTING A RED CARD OR A KING FROM A STANDARD DECK OF CARDS? WHAT IS THE PROBABILITY OF SELECTING A RED CARD OR A KING FROM A STANDARD DECK OF CARDS? 26/52 + 4/52 – 2/52 = 28/52 = = /52 4/52

Try This One! The probability of a guard being chosen by Coach Godfrey to start the basketball game is 0.42 and the probability that she chooses a forward is The probability of a guard being chosen by Coach Godfrey to start the basketball game is 0.42 and the probability that she chooses a forward is Three out of every five players can play both positions on Coach Orga’s team. Three out of every five players can play both positions on Coach Orga’s team. What is the probability that a player chosen to start the game is a guard OR a forward? What is the probability that a player chosen to start the game is a guard OR a forward? /5 = 0.16

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