List the outcomes comprising the specified event.
-Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board Members are Allison, Bob, Charlie, Dave, and Emily. The possible outcomes can be represented as Follows.
$\begin{array}{lllll}
\mathrm{ABC} & \mathrm{ABD} & \mathrm{ABE} & \mathrm{ACD} & \mathrm{ACE} \
\mathrm{ADE} & \mathrm{BCD} & \mathrm{BCE} & \mathrm{BDE} & \mathrm{CDE}
\end{array}$

Here, for example, ABC represents the outcome that Allison, Bob, and Charlie are selected to be on the board. The events $A$ and $B$ are defined as follows.
$A =$ event that Dave is selected
$B =$ event that fewer than two men are selected
List the outcomes that comprise the event (A & B).
A)ABD, ADE, BDE, BCD, ACD, CDE
B) $\mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE } , \mathrm { ABC } , \mathrm { ACE } , \mathrm { BCE }$
C) $\mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE }$
D) $\mathrm { ABE } , \mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE }$

Question

List the outcomes comprising the specified event.
-Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board Members are Allison, Bob, Charlie, Dave, and Emily. The possible outcomes can be represented as Follows.
 $\begin{array}{lllll}
\mathrm{ABC} & \mathrm{ABD} & \mathrm{ABE} & \mathrm{ACD} & \mathrm{ACE} \
\mathrm{ADE} & \mathrm{BCD} & \mathrm{BCE} & \mathrm{BDE} & \mathrm{CDE}
\end{array}$

Here, for example, ABC represents the outcome that Allison, Bob, and Charlie are selected to be on the board. The events $A$ and $B$ are defined as follows.
$A =$ event that Dave is selected
$B =$ event that fewer than two men are selected
List the outcomes that comprise the event (A & B).  
A)ABD, ADE, BDE, BCD, ACD, CDE
B) $\mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE } , \mathrm { ABC } , \mathrm { ACE } , \mathrm { BCE }$
C) $\mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE }$
D) $\mathrm { ABE } , \mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE }$

Quizplus · Accepted Answer

Event A requires Dave to be selected, and event B requires fewer than two men to be selected. The outcomes that satisfy both conditions (Dave being selected and fewer than two men being selected) are ABD, ADE, and BDE, as these combinations include Dave and at most one other man, meeting the criteria for both events A and B.

List the Outcomes Comprising the Specified Event Here, for Example, ABC Represents the Outcome That Allison, Bob