Question

you spin the spinner twice what is the probability of landing on an 8 and then landing on a number greater than 6

Answer 1

Since the spinner is divided into 4 equal sections, the probability for each section is:

$\frac{1}{4}$

The probability of landing on an 8 is:

$p(8)=\frac{1}{4}$

Then, the probability of landing on a number greater than 6 is:

$\begin{gathered} p(x>6)=p(7)+p(8) \\ p(x>6)=\frac{1}{4}+\frac{1}{4} \\ \\ p(x>6)=\frac{2}{4}=\frac{1}{2} \end{gathered}$

Finally, multiply both probabilities

$\begin{gathered} P=\frac{1}{4}\times\frac{1}{2} \\ P=\frac{1}{8} \end{gathered}$

write it as a percentage

$\begin{gathered} P=\frac{1}{8}\times100 \\ P=0.125\times100 \\ P=12.5\% \end{gathered}$

Answer:

$P=12.5\%$