First, we write out the probability formula:
[tex]Pr(E)=\frac{n(R\text{equired outcome)}}{n(Total\text{ outcome) }}[/tex]Total number of tickets = 13
Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)
[tex]\begin{gathered} Pr(\text{Ashley win ) }=\text{ }\frac{1}{13} \\ Pr(\text{Matt win) = }\frac{1}{13} \end{gathered}[/tex][tex]Pr(\text{both wins ) }=\frac{1}{13}\times\frac{1}{13}=\frac{1}{169}[/tex]The final answer is 1/169
In order to express our answer as a percentage, we multiply by a 100%
= 1/169 x 100% = 0.592% ( to 3 significant figures)
