An event may contain sample points that are not in the original sample space of the experiment.
For example, the experiment of rolling two dice has the following sample space:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
However, the event of rolling a sum of at least 11 on the two dice is {11, 12}.

Question

An event may contain sample points that are not in the original sample space of the experiment.
For example, the experiment of rolling two dice has the following sample space:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
However, the event of rolling a sum of at least 11 on the two dice is {11, 12}.

Quizplus · Accepted Answer

An event cannot contain sample points that are not in the original sample space. The event of rolling a sum of at least 11 on two dice should be represented by the pairs of dice rolls that result in those sums, such as {(5, 6), (6, 5), (6, 6)}.

An Event May Contain Sample Points That Are Not in the Original