CBSE Class 12-commerce Answered
from a group of 4 engineers, 3 economic and 2 statisticians a committee of 3 persons is to be selected. find the probability that 1)committee has 1 member 2)exactly 1 engineer and 2 economists
Asked by kharatsrushti572 | 13 May, 2023, 19:59: PM
Total persons = 9
Committee of 3 members can be formed in
ways.
![C presuperscript 9 subscript 3](https://images.topperlearning.com/topper/tinymce/cache/d800df653ba53b581909de8da407f15c.png)
2) 1 engineer can be selected in
ways.
![C presuperscript 4 subscript 1](https://images.topperlearning.com/topper/tinymce/cache/650e1422c7633de2819deadc6d50ab82.png)
2 economist can be selected in
ways.
![C presuperscript 3 subscript 2](https://images.topperlearning.com/topper/tinymce/cache/12ea2f890bb6f2c6698c7dddca87af64.png)
Therefore, probability that exactly 1 engineer and 2 economist can be selected
![equals fraction numerator C presuperscript 4 subscript 1 cross times C presuperscript 3 subscript 2 over denominator C presuperscript 9 subscript 3 end fraction
equals 1 over 7](https://images.topperlearning.com/topper/tinymce/cache/1f7dd10193f2678563ed2a6ec865183c.png)
*Part (1) question is incomplete.
Answered by Rashmi Khot | 13 May, 2023, 23:33: PM
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