Solution
Step 1
[tex]Probability\text{ of any event = }\frac{number\text{ of required outcomes}}{number\text{ of sample space}}[/tex]Step 2
a) The probability of any particular pair be chosen
[tex]\begin{gathered} =\text{ }\frac{1}{8}\text{ }\times\frac{1}{7} \\ =\text{ }\frac{1}{56} \end{gathered}[/tex]b)
the probability that the pair chosen is Jake up and Meg or Geraldo and Sally
[tex]\begin{gathered} =\text{ }\frac{0}{8}\times\frac{1}{8}\text{ + }\frac{1}{8}\text{ }\times\text{ }\frac{1}{56} \\ =\text{ }\frac{1}{56} \end{gathered}[/tex]