A Hospital Reports That Two Patients Have Been Admitted Who

Multiple Choice

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.) . $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\\text { SS } & 0.55 \\\text { SD } & 0.20 \\D S & 0.16 \\D D & 0.09\end{array}$$ Find the probability that both patients survive.

A) 0.36
B) 0.3025
C) 0.09
D) 0.55