Probability and Counting

Probability Experiment Action, or trial, through which specific results are obtained Counts, measurements, or responses

Outcome Result of a singe trial

Sample Space Set of all possible outcomes

Event A part of the sample space. It can consist of one or more outcomes.

Identifying the Vocab… You are doing a probability experiment that consists of tossing a coin and then rolling a six-sided die. How many total outcomes are there? What is the sample space

H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 12 Outcomes

Counting Principle If one event m occurs, and another event n occurs, then the total outcomes are m·n

Buying a new car You are buying a new car! The possible manufacturers, car sizes, and colors are listed… Manufacturer: Ford, GM, Honda Car Size: Compact, Midsize Color: White (W), Red (R), Blue (B), Green (G) How many possible outcomes can you have?

Quick Way

Not Quick Way 24 Outcomes Ford GM Honda compact midsize compact B G W R B G W R B G W R B G W R B G W R B G 24 Outcomes

Classical Probability

Probability with Dice What is the probability I roll a six?

Probability with Cards Number of Cards in a deck: 52 Number of suites: 4 Number in each suite: 13

What is the probability??? Of drawing a heart??? 52 cards total 13 Hearts

So…

What is the probability ??? Of drawing a Queen??? 52 cards total 4 Queen

So…

What is the probability??? Of drawing a face card??? 52 cards total 12 Face Cards

So…