mathematics-class-11-unit-06-chapter-01-probability-l-1-6-bsayy-ke2ok

### <Success>Solution</Success>
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<p><img alt="alt text" src="https://imagedelivery.net/YfdZ0yYuJi8R0IouXWrMsA/5253a8ab-8360-4005-cb1d-5efaa180e300/public"></p>
</div>
<div style='float: right; width:20%;font-size:30px;text-align:left'>
<p>$\therefore$ Number of sample points</p>
<p>$2+3+5+3+11+16=30$</p>
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### <Success>**Problem**</Success>
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<ul>
<li>
<p>The random experiment is the following</p>
</li>
<li>
<p>Suppose in a bus stop there are four passengers. Each passenger may have 1,2 or no bags. You come to the bus stop and pick up 1 or 2 or 3 or 4 passengers, and each passenger takes his/her bags</p>
</li>
<li>
<p>Describe the sample space as a pair of numbers
(# of passengers, # of bags)</p>
</li>
</ul>
</div>
<div style='float: right; width:0%;'>
<p><img alt="image" src="https://temp-public-img-folder.s3.ap-south-1.amazonaws.com/sathee.prutor.images/subject-images/iitpal/image/mathematics-class-11-unit-06-chapter-01-probability-l-1-6-bsayy-ke2ok-6.jpg">
<img alt="image" src="https://temp-public-img-folder.s3.ap-south-1.amazonaws.com/sathee.prutor.images/subject-images/iitpal/image/mathematics-class-11-unit-06-chapter-01-probability-l-1-6-bsayy-ke2ok-7.jpg"></p>
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### <Success>Example</Success>
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<p>Now consider 3 boxes & none will remain empty</p>
<table>
<thead>
<tr>
<th>$1^{s t}$</th>
<th></th>
<th>$\quad$ $2^{n d}$ & $3^{r d }$</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>9</td>
<td>$\quad$ 8</td>
</tr>
<tr>
<td>2</td>
<td>8</td>
<td>$\quad$ 7</td>
</tr>
<tr>
<td>3</td>
<td>7</td>
<td>$\quad$-</td>
</tr>
<tr>
<td>4</td>
<td>6</td>
<td>$\quad$ -</td>
</tr>
<tr>
<td>5</td>
<td>5</td>
<td>$\quad$-</td>
</tr>
<tr>
<td>6</td>
<td>4</td>
<td>$\quad$ -</td>
</tr>
<tr>
<td>7</td>
<td>3</td>
<td>$\quad$ -</td>
</tr>
<tr>
<td>8</td>
<td>2</td>
<td>$\quad$1</td>
</tr>
</tbody>
</table>
</div>
<div style='float: right; width:0%;'>
<p><img alt="image" src="https://temp-public-img-folder.s3.ap-south-1.amazonaws.com/sathee.prutor.images/subject-images/iitpal/image/mathematics-class-11-unit-06-chapter-01-probability-l-1-6-bsayy-ke2ok-15.jpg"></p>
<p>======</p>
<h3 id="successexamplesuccess-1"><Success>Example</Success></h3>
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<p>$\therefore$ Total no of possibilities</p>
<p>$ 1+2+\cdots+8=\frac{8 \times 9}{2}$</p>
<p>$ =36 \text { different ways} $</p>
<ul>
<li>Suppose we have 100 identical balls to be put in 20 different boxes such that none of them is empty</li>
</ul>
</div>