The possible outcomes of an event is the sample space
The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
Assume that the number of outcomes of n single events are:
[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]
When these single events are combined, they form a compound event.
The number of outcomes of the compound event is the product of the number of outcomes of the single events.
i.e.
[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]
Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
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