Respuesta :
PartA
The probability of picking an even number or a multiple of three is a theoretical probability because the sample space(the possible outcome) can easily be gotten and hence the probability of the event can be calculated using the formula
Part B
Let the probability of picking an even number =P(A)
probability of picking a multiple of three =P(B)
hence using theoretical probability
[tex]\begin{gathered} P(A)=\frac{Number\text{ of even number }}{Total\text{ number}} \\ \text{Even number betw}een1-20=10\text{ } \\ \text{total number=20} \end{gathered}[/tex]Hence
[tex]P(A)=\frac{10}{20}=\frac{1}{2}[/tex]Multiples of 3 between 1-20 are 3, 6,9,12,15,18=6
[tex]P(B)=\frac{Numbers\text{ of multiple of 3}}{total\text{ number}}=\frac{6}{20}=\frac{3}{10}[/tex]Then, the probability of P(A) or P(B) is the addition of the individual probability
[tex]\frac{1}{2}+\frac{3}{10}=\frac{4}{5}[/tex]Therefore the probability of picking an even number or a multiple of three is 0.8
