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

question 113

Multiple Choice

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) \(\mathrm { ABE } , \mathrm { ABD } , \mathrm { ADE } , \mathrm { BDE }\)

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Definitions:

Single-cell

Referring to organisms that consist of only one cell, such as bacteria and many types of algae.

Carrageenan

A family of linear sulfated polysaccharides that are extracted from red edible seaweeds and used in the food industry as gelling agents.

Agar

A gelatinous substance derived from seaweed, used as a medium for bacterial growth in laboratory settings.

Thickeners

Substances added to liquids to increase their viscosity without substantially modifying their other properties, often used in food processing and cosmetics.