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所在平台: Udemy |
课程主页: https://www.udemy.com/course/probability-part-4/
课程评论：没有评论
**概率进阶：第四部分 课程总结** 本课程深入探讨了概率论中的一系列进阶概念和应用，通过一系列具体问题，帮助学习者掌握不同场景下的概率计算方法。 **核心内容概览：** * **事件的概率计算：** 课程涵盖了计算多个事件（例如，两位顾客在同一周的同一天或不同天进入同一商店）发生概率的方法。 * **代数方程与概率：** 通过具体问题，展示如何利用概率信息建立代数方程，并求解未知量。例如，根据增加黑色球后概率的变化来确定初始黑色球的数量；已知绿色球的概率来计算蓝色球的数量；以及根据红色球和蓝色球的概率关系来确定蓝色球的数量。 * **基本概率模型：** 讲解了硬币抛掷（计算正面和反面的概率）和骰子投掷（计算大于4和小于等于4的数出现的概率）等基本概率模型的应用。 * **组合与概率：** 探讨了摸球问题（计算不同颜色球的概率），以及扑克牌问题（计算抽到A和非A的概率）。 * **概率与决策：** 涵盖了比赛胜负概率（计算对手获胜的概率），以及生日问题（计算两人同一天或不同天生日的概率）。 * **统计与概率应用：** 结合实际场景，讲解了班级中男女比例与选代表的概率，双硬币同时抛出现至少一个正面的概率，音乐椅游戏中音乐停止时间的概率，以及搜寻区域内直升机坠毁地点的概率。 * **多重条件下的概率：** 涉及到评估不同交易商对带有瑕疵的衬衫接受度的概率。 **学习目标：** 通过本课程的学习，学员将能够： * 熟练运用概率的基本原理解决各种实际问题。 * 能够建立和求解与概率相关的代数方程。 * 理解并应用组合数学在概率计算中的作用。 * 分析涉及多个事件和条件的概率场景。 * 将概率知识应用于决策和风险评估。
1. How to calculate the probability of two customers visiting the same shop in the same week on the same day and different days?2. A box contains 12 balls out of which x are black. If 6 more black balls are added, the probability of drawing black balls is now double of what it was before. Find x.3. A jar contains 24 marbles: some green and some blue marbles. Probability of green marbles is given. How to find the number of blue marbles.4. A bag contains 5 red balls and some blue balls. Probability of blue balls is double that of a red ball. How to find the number of blue balls in the bag.5. How to find the probability of getting a tail of a coin?6. How to find the probability of different coloured balls?7. If a die is thrown once, how to calculate the probability of getting a number greater than 4 and the probability of getting a number less than or equal to 4?8. How to calculate the probability that the card will be an ace and not be an ace?9. Probability of one player winning the match is given. How to find the probability of another player winning the match?10. How to find that two friends will have the different birthdays and the same birthdays?11. Number of girls and boys in a class given. How to calculate the probability that student representative will be a girl or a boy?12. Two different coins are tossed simultaneously. What is the probability that at least one head is got?13. In a musical chair game, the music is to stop at any time within 2 minutes. What is the probability that the music will stop within first half minute after starting?14. A missing helicopter is reported to have crashed somewhere in the rectangular region. What is the probability that it crashed inside the lake shown in the figure?A cartoon has 100 shirts, some of which are good, some having minor defects and some with major defects. A trader accepts only good shirts and another trader rejects major defects shirts. What is the probability that shirt is acceptable to first trader and shirt is acceptable to second trader?
