A large company offers its employees two different health insurance plans and two different dental insurance plans. Plan 1 of each type is relatively inexpensive, but restricts the choice of providers, whereas plan 2 is more expensive but more flexible. The accompanying table gives the percentages of employees who have chosen the various plans: $$\begin{array}{l}

\begin{array} { c | c c }
&\text { Dental Plan }\
\hline \text { Health Plan } & 1 & 2 \
\hline 1 & 27 \% & 14 \% \
2 & 24 \% & 35 \% \
\hline
\end{array}
\end{array}$$ Suppose that an employee is randomly selected and both the health plan and dental plan chosen by the selected employee are determined.
a. What are the four simple events?
b. What is the probability that the selected employee has chosen the more restrictive plan of each type?
c. What is the probability that the employee has chosen the more flexible dental plan?

Question

A large company offers its employees two different health insurance plans and two different dental insurance plans. Plan 1 of each type is relatively inexpensive, but restricts the choice of providers, whereas plan 2 is more expensive but more flexible. The accompanying table gives the percentages of employees who have chosen the various plans: $$\begin{array}{l}

\begin{array} { c | c c } 
&\text { Dental Plan }\
\hline \text { Health Plan } & 1 & 2 \
\hline 1 & 27 \% & 14 \% \
2 & 24 \% & 35 \% \
\hline
\end{array}
\end{array}$$ Suppose that an employee is randomly selected and both the health plan and dental plan chosen by the selected employee are determined. 
a. What are the four simple events?
b. What is the probability that the selected employee has chosen the more restrictive plan of each type?
c. What is the probability that the employee has chosen the more flexible dental plan?

Quizplus · Accepted Answer

The Answer of A large company offers its employees two different health insurance plans and two different dental insurance plans. Plan 1 of each type is relatively inexpensive, but restricts the choice of providers, whereas plan 2 is more expensive but more flexible. The accompanying table gives the percentages of employees who have chosen the various plans: $$\begin{array}{l}

\begin{array} { c | c c } 
&\text { Dental Plan }\
\hline \text { Health Plan } & 1 & 2 \
\hline 1 & 27 \% & 14 \% \
2 & 24 \% & 35 \% \
\hline
\end{array}
\end{array}$$ Suppose that an employee is randomly selected and both the health plan and dental plan chosen by the selected employee are determined. 
a. What are the four simple events?
b. What is the probability that the selected employee has chosen the more restrictive plan of each type?
c. What is the probability that the employee has chosen the more flexible dental plan?

A Large Company Offers Its Employees Two Different Health Insurance