Exercises: Describe Events as Subsets of a Sample Space

A standard die is rolled. Which of the following correctly describes the event "rolling an even number"?

One card is drawn from a standard 52-card deck. The sample space $S$ is the set of all 52 cards. Which statement is true about the event "a heart"?

A standard die is rolled, so $S = \{1, 2, 3, 4, 5, 6\}$. List the event "a number greater than 4" as a roster:   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   . List the event "a multiple of 3" as a roster:   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

A standard die is rolled, $S = \{1, 2, 3, 4, 5, 6\}$. Describe $\{1, 2, 3, 4\}$ in words by completing: "a number   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   than   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ." (First blank: less or greater. Second blank: a single digit.)

One card is drawn from a standard 52-card deck. How many outcomes are in the event "a face card" (Jack, Queen, or King)?   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

On a die, let $A = $ "even" $= \{2, 4, 6\}$ and $B = $ "greater than 3" $= \{4, 5, 6\}$. List the union $A$ or $B$.

On a die, let $A = $ "even" $= \{2, 4, 6\}$ and $B = $ "greater than 3" $= \{4, 5, 6\}$. List the intersection $A$ and $B$.

On a die, $S = \{1, 2, 3, 4, 5, 6\}$ and $A = $ "even" $= \{2, 4, 6\}$. List the complement "not $A$."