Respuesta :
[tex] |\Omega|=6\\
|A|=\underbrace{2}_{\text{greater than 4}}+\underbrace{3}_{\text{shaded}}-\underbrace{1}_{\text{shaded 5}}=4\\\\
P(A)=\dfrac{4}{6}=\dfrac{2}{3} [/tex]
Given that there are 6 sections so possible number of outcomes are 6.
We need a number greater than 4 or on a shaded section.
number greater than 4 are "5,6".
Shaded numbers are "1,3,5".
"OR" means any of above outcomes is favorable i.e. "1,3,5,6" are favorable outcomes.
number of favorable outcomes = 4
Probability is basically "[favorable number of outcome] / [total number of outcomes]"
Hence probability that the spinner will land on a number greater than 4 or on a shaded section is 4/6 which can be simplified to 2/3.
So 2/3 is the final answer.