Consider two hosts H$1$ and H$2$ that are on a shared Ethernet network where CSMA$/$CD is enabled. There are no other hosts or other traffic on this network. Recall that, after the m$-$th successive collision, a host chooses K at random from $\{0,1,2,...,2$m$-1\}$ as per the exponential backoff algorithm employed by the Ethernet CSMA$/$CD protocol. Assume that both hosts have a frame to transmit but encounter $2$ successive $($i$.$e$.$ back$-$to$-$back$)$ collisions. What is the probability that H$1$ and H$2$ will encounter a third successive collision.