Intro to Probability Section 4.2. PROBABILITY All probabilities must be between 0 and 1.

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Presentation transcript:

Intro to Probability Section 4.2

PROBABILITY All probabilities must be between 0 and 1.

SAMPLE SPACE  All the possible outcomes of an experiment.

PROBABILITY

TYPES of EVENTS  NULL EVENTS: events that will never occur. p(A) = 0  CERTAIN EVENTS: events that will always occur. p(B) = 1

Experimental Probability vs. Theoretical Probability  Roll ONE die 15 times.  WRITE OUT your results.  What is your probability of rolling a FIVE ?

ONE DIE THEORETICAL PROBABILITY 1) What is the probability that you will roll a 5? 5 = 1 ways __ 1 6

TWO DIE  Two dice are rolled at the same time. Find the sample space. 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 36 1,2 2,1

__ TWO DIE 4) With two dice, what is the probability that you will roll a seven? 5) With two dice, what is the probability that you will roll a number larger than 10? = 6 ways1,65,22,56,14,3 3, ,6 6,5 11 6,6= 3 ways __

DECK OF CARDS HHHHow many cards are in a deck? HHHHow many face cards are there? HHHHow many suits are in a deck of cards? HHHHow many cards are in each suit?

__ DECK OF CARDS What is the probability of getting… A face card? A face card? A red two? A red two? 12= # of face cards 52= sample space 2 = # of red twos 52 = sample space

Use the following table to find the probability  Find the probability that a randomly selected worker at McDonalds 2) Is a college grad 3) Is a male 4) Is a male who graduated from Grad school HSCollegeGraduate MALES FEMALES / / / 169

Scenarios  A slot machine in VEGAS has three wheels, and each wheel has a picture of a lemon, cherry, and an apple on it. Each wheel operates independently of the other. When all three wheels show the same item, then the player wins $5000. Find the probability of a player winning $5000 when playing this slot machine. Find the probability of a player winning $5000 when playing this slot machine.

Forgetful Students  Sallies students are very forgetful. Three of Mrs. Godfrey’s seniors left their calculators in her classroom. They all stop by after school at different times and randomly select a calculator. The calculators all look exactly the same too! What is the probability that they pick the correct one?