Barishal higher sec 2011/7
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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- Joined:Thu Jan 20, 2011 10:46 am
Avik has 12 balls and subroto has 20 balls.They both divide their balls in 2 boxes each so that each of the boxes has odd number of balls.Then they exchange one box with each other.What is the probability that their total number of balls has remained the same?
Re: Barishal higher sec 2011/7
I think, the solution is $\frac 3{10}$
I did this manually, by checking the three cases of Avik da.
I did this manually, by checking the three cases of Avik da.
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Re: Barishal higher sec 2011/7
i think the answer will be $\frac{1}{10}$
২টি বক্সে নিম্ন ভাবে বল রাখা সম্ভব
এখানে মোট বাক্স বিনিময় হতে পারে $6\times 10=60$ উপায়ে এবং সমসংখ্যক বলের বাক্স বিনিময় হতে পারে $6$ উপায়ে।
সুতরাং সম্ভাব্যতা= $\frac{6}{60}=\frac{1}{10}$
(কোন ভুল হলে প্লিজ ধরিয়ে দিবেন)
২টি বক্সে নিম্ন ভাবে বল রাখা সম্ভব
- অভীকদা
১ম বক্স ২য় বক্স
১ ১১
৩ ৯
৫ ৭
সুব্রতদা
১ম বক্স ২য় বক্স
১ ১৯
৩ ১৭
৫ ১৫
৭ ১৩
৯ ১১
এখানে মোট বাক্স বিনিময় হতে পারে $6\times 10=60$ উপায়ে এবং সমসংখ্যক বলের বাক্স বিনিময় হতে পারে $6$ উপায়ে।
সুতরাং সম্ভাব্যতা= $\frac{6}{60}=\frac{1}{10}$
(কোন ভুল হলে প্লিজ ধরিয়ে দিবেন)
অম্লান সাহা
Re: Barishal higher sec 2011/7
@অম্লান দা, আপনার টা ঠিক আছে... আমি ৩টা কেস যোগ করে ভুল করসি...
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Barishal higher sec 2011/7
অম্লান দা, এই সমস্যাটা হুবহু যশোরেও ছিল, কিন্তু সমাধান, $\frac ৩ {৩২}$ ... ( I saw a solution sheet for MOVers)
কি হইল বুঝলাম না...
কি হইল বুঝলাম না...
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes