Probability, Experimental - Research Article from Macmillan Science Library: Mathematics

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Conducting Experiments

Performing experiments for the purposes of determining experimental probabilities can provide powerful insights into the nature of probability. Rolling dice, tossing coins, drawing marbles from a hat, and selecting playing cards from a deck are just a few of the common probability experiments that can be performed.

The theoretical probability of rolling The theoretical probability of rolling "snake eyes" is 1 in 36, but the experimental probability will depend on the number of trials.

Consider, for example, the toss of a die. A die is a cube, each face of which displays from 1 to 6 dots. In tossing a die one hundred times, the following results were attained:

2, 4, 4, 5, 2, 3, 1, 5, 1, 3, 2, 1, 3, 3, 4, 5, 1, 5, 5, 4, 3, 6, 5, 6, 6, 5, 6, a6, 2, 6, 4, 4, 4, 3, 3, 2, 2, 4, 3, 4, 1, 2, 2, 5, 5, 6, 4, 1, 1, 6, 4, 2, 6, 6, 5, 1, 3, 4, 6, 1, 5, 4, 3, 1, 6, 4, 3, 5, 6, 2, 4, 6, 1, 5, 5, 3, 3, 6, 4, 4, 6, 2, 6, 1, 3, 1, 4, 5, 2, 3, 3, 4, 6, 3, 6, 3, 3, 3, 3, 5.

In order to calculate the experimental probability of each value occurring, tally the results.

1  2  3� 0A0; 4  5 & #x00A0;6
13  12  21& #x00A0;&#x...

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This section contains 1,068 words
(approx. 4 pages at 300 words per page)
Buy the Probability, Experimental Encyclopedia Article
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Macmillan Science Library: Mathematics
Probability, Experimental from Macmillan Science Library: Mathematics. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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