threshold that resolves the contention successfully for the set $\{ (Y_1,Y_2): \frac{1}{2} < Y_1 \leq \frac{3}{4} < Y_2 \leq 1\}$ is $\frac{3}{4}$ and the base station feeds back a $e1$ in the first two minislots**.

                             Events                                Threshold     Feedback        Prob       
  ------------------------------------------------------------- --------------- ---------- ---------------- --
           $0 \leq Y_1 \leq \frac{1}{2} < Y_2 \leq 1$            $\frac{1}{2}$      1       $\frac{1}{2}$   
        $\frac{1}{2} < Y_1 \leq \frac{3}{4} < Y_2 \leq 1$        $\frac{3}{4}$      e1      $\frac{1}{8}$   
      $0 \leq Y_1 \leq \frac{1}{4} < Y_2 \leq \frac{1}{2}$       $\frac{1}{4}$      01      $\frac{1}{8}$   
        $\frac{3}{4} < Y_1 \leq \frac{7}{8} < Y_2 \leq 1$        $\frac{7}{8}$     ee1      $\frac{1}{32}$  
   $\frac{1}{2} < Y_1 \leq \frac{5}{8} < Y_2 \leq \frac{3}{4}$   $\frac{5}{8}$     e01      $\frac{1}{32}$  
   $\frac{1}{4} < Y_1 \leq \frac{3}{8} < Y_2 \leq \frac{1}{2}$   $\frac{3}{8}$     0e1      $\frac{1}{32}$  
      $0 \leq Y_1 \leq \frac{1}{8} < Y_2 \leq \frac{1}{4}$       $\frac{1}{8}$     001      $\frac{1}{32}$  
                                                                                                            

  : The probability distribution on the threshold/feedback corresponding to OSA for $N = 2$ users.[]{data-label="tab:osa_two_users"}

In Table \[tab:osa\_two\_users\], we have listed sets of ordered two tuples along with the threshold ($y_{min}$) for OSA that resolves the set. The feedback from the base station corresponding to the threshold (equivalently, the set) and the probability of the threshold (equivalently, the feedback) is also listed in the table.

\[rem:osa\_2\] We make the following observations from 