Answer:
[tex]Outcome = \{4H,4T\}[/tex]
Step-by-step explanation:
Given
A roll of cube numbered 1 - 4
A flip of coin
Required
Determine the possible outcomes for a number greater than 3
First, we list the sample space of the coin:
[tex]Sample\ Space = \{1,2,3,4\}[/tex]
Next, we list outcomes greater than 3
[tex]S = \{3\}[/tex]
Next, we list out the sample space (C) of a flip of coin:
[tex]C = \{H,T\}[/tex]
Where
[tex]H = Head\\T = Tail[/tex]
So, the possible outcome for a number greater than 3 is:
[tex]Outcome = \{4\} + \{H,T\}[/tex]
[tex]Outcome = \{4H,4T\}[/tex]