Find the Indicated Probability Determine the Probability That B and C Are Both Included

question 108

Multiple Choice

Find the indicated probability.
-A committee of three people is to be formed. The three people will be selected from a list of five possible committeemembers. A simple random sample of three people is taken, without replacement, from the group of five people. If thefive people are represented by the letters A, B, C, D, E, the possible outcomes are as follows.
$\begin{array}{l}\mathrm{ABC} \\\mathrm{ABD} \\\mathrm{ABE} \\\mathrm{ACD} \\\mathrm{ACE} \\\mathrm{ADE} \\\mathrm{BCD} \\\mathrm{BCE} \\\mathrm{BDE}\end{array}$

Determine the probability that B and C are both included in the sample.

• A) \(\frac { 3 } { 10 }\)
• B) \(\frac { 1 } { 10 }\)
• C) \(\frac { 9 } { 10 }\)
• D) \(\frac { 2 } { 10 }\)

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Definitions:

Legislative Rules

Regulations established by a governmental or administrative entity to guide the operation and procedures of legislative bodies.

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Senior executive departments within the government that are led by cabinet secretaries, who are appointed by the president and confirmed by the Senate.

Advice and Consent

A constitutional mechanism in which a legislative body must approve certain actions or decisions made by the executive branch or its representatives.

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The Administrative Head is the lead official in charge of managing and overseeing the operations of an organization or department.