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Sample Space - Choose a letter from a word











































A "sample space" is the set of all possible outcomes from an experiment.

The sample space is not the number of all possible outcomes, it is the set of all possible outcomes themselves. Every element of the sample space is unique.

Find the sample space?

Draw the diagram.

Choose a letter from the word space.

Choose a constant from the word math.

Comments for Sample Space - Choose a letter from a word

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Feb 10, 2013
Sample Space
by: Staff


Answer


Since the sample space is the set of all possible outcomes:

The sample space for randomly choosing a letter from the word "space" is the following set.

Set A = {s, p , a , c, e}

The sample space for randomly choosing a letter from the word "math" is the following set.

Set B = {m, a , t , h}

The intersection of Set A and Set B is:

A ∩ B = {a}

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The sample space for randomly choosing a letter from the word "space", and then randomly choosing a letter from the word "math" is the following set:

Set C = {{s,m}, {s,a}, {s,t}, {s,h}, {p,m}, {p,a}, {p,t}, {p,h}, {a,m}, {a,a}, {a,t}, {a,h}, {c,m}, {c,a}, {c,t}, {c,h}, {e,m}, {e,a}, {e,t}, {e,h}}


This can be shown as a tree diagram.

Tree Diagram







Thanks for writing.

Staff
www.solving-math-problems.com


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