Respuesta :
The Solution.
The set of numbers under consideration is
[tex]\mleft\lbrace1,2,3,4,5,6,7,8,9,10\mright\rbrace=10[/tex]Even numbers = {2,4,6,8,10} = 5
[tex]\text{Probability(even number) =}\frac{5}{10}=\frac{1}{2}\text{ or 0.5 or 50\%}[/tex]Prime numbers = {2,3,5,7} = 4
[tex]\text{Probability(prime number) = }\frac{4}{10}=\frac{2}{5}\text{ or 0.4 or 40\%}[/tex]Numbers greater than 6:
{7,8,9,10} = 4
[tex]\text{Probability(greater than 6) = }\frac{4}{10}=\frac{2}{5}\text{ or 0.4 or 40\%}[/tex]The probability of 2 or 5 is
[tex]\begin{gathered} \text{Probability}(2\text{ or 5) =prob(2) + prob(5)} \\ \text{ = }\frac{1}{10}+\frac{1}{10}=\frac{2}{10}=\frac{1}{5}\text{ or 0.2 or 20\%} \end{gathered}[/tex]The multiple of 3:
Multiple of 3 = {3,6,9} = 3
[tex]\text{Probability(multiple of 3) = }\frac{3}{10}\text{ or 0.333 or 33.3\%}[/tex]