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Mymensingh Regional 2017 P3

https://matholympiad.org.bd/forum/viewtopic.php?f=21&t=6159

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Mymensingh Regional 2017 P3

Posted: Wed Mar 10, 2021 11:55 am
by saifmd
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?

Re: Mymensingh Regional 2017 P3

Posted: Wed Mar 10, 2021 9:59 pm
by Mehrab4226
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 $=16$
$\therefore probability = \frac{16}{28}=\frac{4}{7}$

Re: Mymensingh Regional 2017 P3

Posted: Fri Mar 12, 2021 10:43 am
by saifmd
Your solution is really very clean amd charming. Jazakallah khairan. May Allah grant you success in life.

Re: Mymensingh Regional 2017 P3

Posted: Fri Mar 12, 2021 12:17 pm
by Mehrab4226
Thank you.
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