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<html><body><h2 id="content-id-1206759384-2"><b>Probability Questions Overview</b></h2><p>Probability Questions have a good weightage in the Selection Post Grad English Exam and the type of question asked in Selection Post Grad English exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Probability Questions.</p><h2 id="content-id-3607518942-3"><b>Question On Probability </b></h2>A group of 20 students consists of 12 boys and 8 girls. A committee of 5 students is to be selected randomly from this group. What is the probability that the committee has more boys than girls?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 36 Seconds </h3></div></div><h2 id="content-id-1406829753-4"><b> Probability Questions Options</b></h2><ol><li><p>Approximately 0.65</p>
</li><li><p>Approximately 0.70</p>
</li><li><p>Approximately 0.90</p>
</li><li><p>Approximately 0.80</p>
</li></ol> <h2 id="content-id-0487296153-5"><b> Probability Questions Solution</b></h2><p>The correct answer is <strong>option 2 </strong>i.e.<strong> Approximately 0.70.</strong></p>

<p>Total committees = <sup>20</sup>C<sub>5</sub> = 15504</p>

<p>Let Boy = B and Girl = G</p>

<p>More boys than girls ⇒ Possible cases:</p>

<p>(3B, 2G), (4B, 1G), (5B, 0G)</p>

<p>Favourable ways = <sup>12</sup>C<sub>3</sub> × <sup>8</sup>C<sub>2</sub> + <sup>12</sup>C<sub>4</sub> × <sup>8</sup>C<sub>1</sub> + <sup>12</sup>C<sub>5</sub> × <sup>8</sup>C<sub>0</sub></p>

<p>= (220 × 28) + (495 × 8) + (792 × 1)</p>

<p>= 10912</p>

<p>Probability = 10912/15504 ≈ 0.70</p>
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The correct answer is option 2 i.e. App - Probability Questions are asked in Selection Post Grad English exams and your question has been explained by experts like Neetu Mam.

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