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

Question

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

Quizplus · Accepted Answer

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