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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