Mymensingh Regional 2017 P3

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saifmd
Posts:15
Joined:Wed Feb 24, 2021 12:41 am
Mymensingh Regional 2017 P3

Unread post by saifmd » Wed Mar 10, 2021 11:55 am

Your city has 2 types of people; one type owns a private car one doesn’t. Statistics show that the people with private cars are responsible for traffic jam in 40% of cases, whereas other people are responsible in only 20% of cases. Imagine in your city 40% people have private car. Now if one person is responsible for traffic jam then, What is the probability of him having a private car?

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Mehrab4226
Posts:230
Joined:Sat Jan 11, 2020 1:38 pm
Location:Dhaka, Bangladesh

Re: Mymensingh Regional 2017 P3

Unread post by Mehrab4226 » Wed Mar 10, 2021 9:59 pm

For the sake of argument let us assume that there are $100$ people living in the village.
$\therefore$ $40$ of them owns a private car and the rest $60$ doesn't.
$\therefore$ the number of people who owns a private car and responsible for the accident is $40\% \times 40 = 16$
The same for none private car people$=20\% \times 60 = 12$
Number of probable outcomes $=16+12=28$
Number of Favourable outcomes $=16$
$\therefore probability = \frac{16}{28}=\frac{4}{7}$
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

saifmd
Posts:15
Joined:Wed Feb 24, 2021 12:41 am

Re: Mymensingh Regional 2017 P3

Unread post by saifmd » Fri Mar 12, 2021 10:43 am

Your solution is really very clean amd charming. Jazakallah khairan. May Allah grant you success in life.

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Mehrab4226
Posts:230
Joined:Sat Jan 11, 2020 1:38 pm
Location:Dhaka, Bangladesh

Re: Mymensingh Regional 2017 P3

Unread post by Mehrab4226 » Fri Mar 12, 2021 12:17 pm

Thank you.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

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