Event/Examples/Tossing 2 Coins
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Examples of Events
Let $\EE$ be the experiment consisting of tossing $2$ coins.
From Tossing $2$ Coins, the sample space of $\EE$ is:
- $\Omega = \set {\tuple {\mathrm H, \mathrm H}, \tuple {\mathrm H, \mathrm T}, \tuple {\mathrm T, \mathrm H}, \tuple {\mathrm T, \mathrm T} }$
where $\mathrm H$ denotes heads and $\mathrm T$ denotes tails.
Let $A$ be the subset of $\Omega$ defined as:
- $A = \set {\tuple {\mathrm H, \mathrm H}, \tuple {\mathrm H, \mathrm T}, \tuple {\mathrm T, \mathrm H} }$
Let $B$ be the subset of $\Omega$ defined as:
- $A = \set {\tuple {\mathrm H, \mathrm H} }$
Then:
Sources
- 1965: A.M. Arthurs: Probability Theory ... (previous) ... (next): Chapter $2$: Probability and Discrete Sample Spaces: $2.2$ Sample spaces and events