Question

a probability experiment is conducted in which the sample space of the experiment is s = {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, event f={9, 10, 11, 12, 13, 14}, and event g = {13, 14, 15, 16}. 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: Define the union of sets

The union of two sets $F$ and $G$, denoted as $F\cup G$, is the set of all elements that are in $F$ or in $G$ (or in both).

Step2: Identify the elements in $F$ and $G$

$F = \{9, 10, 11, 12, 13, 14\}$ and $G=\{13, 14, 15, 16\}$.

Step3: Find the union

Combining the elements of $F$ and $G$ and removing duplicates, we get $F\cup G=\{9, 10, 11, 12, 13, 14, 15, 16\}$.

Answer:

A. $F$ or $G = 9,10,11,12,13,14,15,16$