A Hospital Reports That Two Patients Have Been Admitted Who $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\S S & 0.53 \\S D & 0.12 \\D S & 0.17 \\D D & 0.18\end{array}$$

Essay

A hospital reports that two patients have been admitted who have contracted Crohnʹs
disease. Suppose our experiment consists of observing whether each patient survives or
dies as a result of the disease. The simple events and probabilities of their occurrences are
shown in the table (where S in the first position means that patient 1 survives, D in the first
position means that patient 1 dies, etc.). $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\S S & 0.53 \\S D & 0.12 \\D S & 0.17 \\D D & 0.18\end{array}$$ Find the probability that neither patient survives.