Answer:
The answer is " [tex]\bold{\frac{2}{3}}[/tex]"
Step-by-step explanation:
Given set:
[tex]\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}[/tex]
In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:
[tex]\to P( F\ or \ G) = \frac{8}{12}[/tex]
[tex]= \frac{2}{3}[/tex]
by using the general addition Rule:
[tex]\to P(F \cup G) = P(F) +P(G)- P(F \cap G)[/tex]
[tex]=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\[/tex]
