# [Question] Mathematics × Programming Competition #7 [問題] 數學 × 程式編寫比賽 (第七回)

3년 전

## Mathematics × Programming Competition #7

Designed by @nicolemoker

## Question

A point is chosen randomly in a square. 4 lines are drawn to connect this point with the 4 vertices of this square, such that 4 triangles are formed. Find the probability that all interior angles of the 4 triangles are less than 120°. Give your answer correct to the nearest 3 decimal places.

## Rules

• This competition will last for 7 days. After that, no more submission will be accepted.
• Participants who submit the answer as a comment below this post will be disqualified.
• Participants can submit an unlimited number of solutions, however only the latest answer will be considered.
• You have to upvote this post in order to be eligible for the competition.

## Prizes

• The three fastest contestants would win the first prize, second prize and third prize respectively.
• Other contestants who gave the correct answer would enter a lucky draw. 5 winners will be drawn.
• Those who resteemed this post will have 400% higher chance to win in the lucky draw.
• @kenchung reserves all the rights to disqualify any suspected cheating players and to decide the distribution of prizes among the winner(s).
Name of prizeMax no. of prizesSBDSP (sponsored by @steemstem ! )
First prize1SBD payout of this post / n7.5
Second prize1SBD payout of this post / n5
Third prize1SBD payout of this post / n2.5
Consolation prize5SBD payout of this post / n0

where n is the total number of winners in this competition. n = min (number of participants getting the correct answer, 8).

The steemSTEM project (@steemstem) is a community-supported project aiming to increase the quality and the visibility of STEM (STEM is the acronym for Science, Technology, Engineering and Mathematics) articles on Steemit. Please support steemSTEM by following @steemstem and joining the chat channel. You can also consider joining a private curation trail to further support steemSTEM by asking about it in the chat channel. In order to further promote the use of the chat channel, I will stop announcing the time of next competition via a post. Instead I will announce the time in advance in the chat channel!

## 數學 × 程式編寫比賽 (第七回)

Designed by @nicolemoker

## 規則

• 此比賽為時7天，其後將不會再接受新答案。
• 嚴禁在回覆公開答案，否則將被取消資格。
• 參加者可以重覆提交答案，但比賽終結時只會考慮最後提交的答案。
• 你必須upvote此帖方能參加比賽。

## 獎品

• 最快給出正確答案的三名參賽者將分別獲得一等獎、二等獎和三等獎。
• 其他給出正確答案的參賽者將可參與抽獎。5名參賽者將被選出。
• Resteem此帖文者將有額外400％的得獎機會。
• 本人保留一切最終權利，包括但不限於取消任何疑似作弊者的資格並決定獲獎者的獎勵分配。

steemSTEM（@steemstem）是一個由steemit社群支持的項目，旨在宣傳STEM（STEM是科學，技術，工程和數學的首字母縮略詞）。 請追蹤 @steemSTEM 以及加入聊天頻道來支持steemSTEM。你還可以透過加入自動點讚系統來在為了進一步支持steemSTEM，詳情請在聊天頻道內向負責人士查詢。為了推廣聊天頻道的使用，我將不再透過發文來宣布下一場比賽的時間，我會在聊天頻道中提前公佈比賽時間。

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I hope i win this time :P (voted and resteeeeeeeeeeeeeeeeeeeem)

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sure best of luck! :p

·  3년 전

Just to be sure, if my solution would be 0.55%, I should submit 0.006.. correct?
(that is not my solution btw 😼)

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yes that's right :)

Congratulations @kenchung, this post is the ninth most rewarded post (based on pending payouts) in the last 12 hours written by a Superuser account holder (accounts that hold between 1 and 10 Mega Vests). The total number of posts by Superuser account holders during this period was 703 and the total pending payments to posts in this category was \$3964.13. To see the full list of highest paid posts across all accounts categories, click here.

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·  3년 전

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😢😢😢

·  3년 전

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·  3년 전

This is actually some astounding work! Followed

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·  3년 전

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I have also submitted my answer, both in unit-less and percentage form in addition to the exact solution if that is ok
Hopefully without computational errors ^^

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3 decimal places in the unit-less is fine :) anyway thanks for your participation! hope that you got the right answer :)

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「答案提交」那一部分

business does not lie to results

·  3년 전

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·  3년 전

Just submitted the answer.. It's a very difficult one.

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ye this one is more difficult than the previous questions :) hope that you got it right!

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Hope I got the answer :)
Awesome math puzzle! RESTEEMED!

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great thanks! :) hope that you can win :)

·  3년 전

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·  3년 전

cool contest. I will try to tackle it when I get some free time.

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sure! :) thanks for joining!

·  3년 전

submitted... Will make a post about finding my result once the contest is over, as I'm sure it may be a somewhat different approach :)

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thanks for participation, looking forward to seeing your approach in solving this question!

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·  3년 전

i have published a post here: https://steemit.com/cn/@vincentyip/kenchung