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Set Notation Examples: Finding Sample Space and Events in Experiments, Assignments of Probability and Statistics

Iowa State University (ISU)Probability and Statistics

Examples of finding sample spaces and events using set notation in two experiments: rolling a single dice and flipping a coin twice. It covers defining events a, b, and c, and finding their intersections and unions.

Typology: Assignments

Pre 2010

Uploaded on 09/02/2009

koofers-user-5oc
koofers-user-5oc 🇺🇸

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Set Notation Examples
1. Your experiment is to roll a single dice.
(a) What is the sample space Sfor this experiment.
(b) Define the events A, B, and C to be
A={1,2}B={1,3}C={2,4,6}
Find the following events.
i. A∪B
ii. A∩B
iii. A
iv. A∩C
v. A∩B
2. Your experiment is to flip a coin 2 times.
(a) What is the sample space Sfor your experiment.
(b) Define the events A, B and C to be
A={at least one head}B={exactly one head}C={no heads}
Find the following events.
i. A∩B
ii. B∪C
iii. A∩C
iv. B∩C
1

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Set Notation Examples

  1. Your experiment is to roll a single dice.

(a) What is the sample space S for this experiment.

(b) Define the events A, B, and C to be

A = { 1 , 2 } B = { 1 , 3 } C = { 2 , 4 , 6 } Find the following events. i. A ∪ B

ii. A ∩ B

iii. A

iv. A ∩ C

v. A ∩ B

  1. Your experiment is to flip a coin 2 times.

(a) What is the sample space S for your experiment.

(b) Define the events A, B and C to be

A = {at least one head} B = {exactly one head} C = {no heads} Find the following events. i. A ∩ B

ii. B ∪ C

iii. A ∩ C

iv. B ∩ C