A Hospital Reports That Two Patients Have Been Admitted Who $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\S S & 0.58 \\S D & 0.10 \\D S & 0.20 \\D D & 0.12\end{array}$$

question 220

Essay

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.). $$\begin{array} { c c } \text { Simple Events } & \text { Probabilities } \\S S & 0.58 \\S D & 0.10 \\D S & 0.20 \\D D & 0.12\end{array}$$ Find the probability that neither patient survives.

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