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

question 116

True/False

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

---

Definitions:

Mexican Pesos

The currency of Mexico, used in financial transactions within the country.

Exchange Rate

The price at which one currency can be exchanged for another, influencing international trade and economics.

Lawn Mower

A machine utilizing one or more revolving blades to cut a grass surface to an even height.

Future Price Increase

An anticipated rise in the cost of goods or services over time.