28a-Finite-Probability

28a-Finite-Probability - Finite Probability Introduction...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Finite Probability Discrete Mathematics
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Discrete Mathematics – Finite Probability 28-2 Experiments and Outcomes Experiment: Tossing a coin Outcomes: {heads, tails} Experiment: Rolling a dice Outcomes: {1,2,3,4,5,6} Experiment: Rolling two dice Outcomes: {1,…,6} × {1,…,6} or {A {1,…,6} : |A| 2} Experiment: Buying 3 lottery tickets (out of 100,000) Outcomes: 3-element subsets of {1,…,100000}
Background image of page 2
Discrete Mathematics – Finite Probability 28-3 Sample Space and Events The set of all outcomes of an experiment is called the sample space Sometimes we are interested not in a single outcome, but an event that happens in several outcomes Examples: Get heads at least 3 times when tossing 5 coins Win a prize in lottery Get 2 aces in a poker hand
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Discrete Mathematics – Finite Probability 28-4 Events Let S be the sample space of a certain experiment. An event is any subset of S Examples: Experiment: Tossing 2 coins Sample space: S = {heads,tails} × {heads,tails} Event: Get exactly 1 heads A = {(heads,tails),(tails,heads)} Experiment: Rolling 2 dice Sample space: S = {1,…,6} × {1,…,6} Event: The sum of the dice is 6 A = {(1,5),(2,4),(3,3),(4,2),(5,1)}
Background image of page 4
Discrete Mathematics – Finite Probability 28-5 Probability
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/12/2010 for the course MACM 201 taught by Professor Marnimishna during the Fall '09 term at Simon Fraser.

Page1 / 15

28a-Finite-Probability - Finite Probability Introduction...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online