Answer:
[tex]P(Not\ 3) = \frac{5}{6}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- sample space
Required
P(not 3)
First, we list out all outcomes that are not 3.
We have:
[tex]Not\ 3 = \{1,2,4,5,6\}[/tex] --- 5 possible outcomes
[tex]S = \{1,2,3,4,5,6\}[/tex] ---- 6 total outcomes
So, P(Not 3) is calculated as:
[tex]P(Not\ 3) = \frac{n(Not\ 3)}{n(S)}[/tex]
[tex]P(Not\ 3) = \frac{5}{6}[/tex]