A Hospital Reports That Two Patients Have Been Admitted Who $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\\text { SS } & 0.52 \\S D & 0.19 \\D S & 0.16 \\D D & 0.13\end{array}$$

A hospital reports that two patients have been admitted who have contracted Crohn's 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.) .
$$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\\text { SS } & 0.52 \\S D & 0.19 \\D S & 0.16 \\D D & 0.13\end{array}$$ Find the probability that both patients survive.

A) 0.35
B) 0.52
C) 0.13
D) 0.2704