Question

a probability experiment is conducted in which the sample space of the experiment is s = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, event f = {3, 4, 5, 6, 7, 8}, and event g = {7, 8, 9, 10}. assume that each outcome is equally likely. list the outcomes in f or g. find p(f or g) by counting the number of outcomes in f or g. determine p(f or g) using the general addition rule.

list the outcomes in f or g. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. f or g=
(use a comma to separate answers as needed.)
b. f or g={}

Explanation:

Step1: Recall the definition of 'or' in sets

The set of outcomes in $F$ or $G$ is the union of sets $F$ and $G$, denoted as $F\cup G$. It contains all the elements that are in $F$, in $G$, or in both.
$F = \{3,4,5,6,7,8\}$ and $G=\{7,8,9,10\}$.

Step2: Find the union of $F$ and $G$

We combine the elements of $F$ and $G$ and remove duplicates.
$F\cup G=\{3,4,5,6,7,8,9,10\}$

Answer:

A. F or G = {3,4,5,6,7,8,9,10}