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:

`(1)/(4)`

The probability of landing on an 8 is:

`p(8)=(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)=(1)/(4)+(1)/(4) \\ \\ p(x>6)=(2)/(4)=(1)/(2) \end{gathered}`

Finally, multiply both probabilities

`\begin{gathered} P=(1)/(4)*(1)/(2) \\ P=(1)/(8) \end{gathered}`

write it as a percentage

`\begin{gathered} P=(1)/(8)*100 \\ P=0.125*100 \\ P=12.5\% \end{gathered}`

Answer:

`P=12.5\%`