Respuesta :
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total outcomes}}[/tex]STEP 2: Wit the required data
[tex]\begin{gathered} For\text{ a standard six-sided die,} \\ The\text{ total outcomes is 6} \\ n(Total)=6 \end{gathered}[/tex]STEP 3: Find the probability that she rolls a three
[tex]\begin{gathered} n(3)=1 \\ n(total)=6 \\ Pr(3)=\frac{1}{6} \\ To\text{ percentage:} \\ \frac{1}{6}\times100=16.6666667\approx16.7\% \end{gathered}[/tex]The probability that she rolls a three is 16.7%
STEP 4: Find the probability that she rolls a six
[tex]\begin{gathered} n(6)=1 \\ n(total)=6 \\ Pr(6)=\frac{1}{6} \\ To\text{percentage} \\ \frac{1}{6}\times100=16.666,666,7\approx16.7\operatorname{\%} \end{gathered}[/tex]The probability that she rolls a six is 16.7%
STEP 5: Find the probability that she rolls three or a six
[tex]\begin{gathered} Pr(3\text{ or 6\rparen}=Pr(3)+Pr(6) \\ =\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3} \\ To\text{ percentage''} \\ \frac{1}{3}\times100=\frac{100}{3}=33.3333333\approx33.3\% \end{gathered}[/tex]The probability that she rolls a three or six is 33.3%
STEP 6: Find the probability that she rolls an even number
[tex]\begin{gathered} Even\text{ number}=2,4,6 \\ n(even\text{ number\rparen}=3 \\ Pr(even\text{ number\rparen}=\frac{3}{6}=\frac{1}{2} \\ To\text{ percentage:} \\ \frac{1}{2}\times100=\frac{100}{2}=50\% \end{gathered}[/tex]The probability that she rolls an even number is 50.0%
