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所在平台: Udemy |
课程主页: https://www.udemy.com/course/probability-part-3/
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《概率进阶：第三部分》课程涵盖了概率论的多个核心概念，并通过一系列实际案例进行讲解。 课程内容包括： * **基础概率计算：** 例如从一副扑克牌中抽到不同类型牌的概率，以及从一副纸牌中抽取特定牌（如王后、A）的概率，并考虑了抽后不放回的情况。 * **条件概率与独立事件：** 探讨了在已知某些事件发生的情况下，其他事件发生的概率，如混合了次品的好品中抽取好品的概率，以及一批灯泡中抽到次品或好品的概率，并考虑了不放回抽取的影响。 * **组合与计数：** 涉及到从编号的圆盘中抽取特定数字（如两位数、完全平方数、能被5整除的数）的概率。 * **几何概率：** 以投掷骰子落在特定区域（圆形）为例，引入了几何概率的概念。 * **游戏与决策：** 分析了投掷硬币的游戏，计算了输掉游戏的概率，并考虑了购买物品时基于产品质量（好坏）的概率决策。 * **联合概率与多种事件：** 考察了带有重复字母或数字的骰子，以及投掷两次骰子可能出现的各种分数组合（如总分是偶数、等于6、大于等于6）的概率。 本课程通过这些生动的例子，帮助学习者深入理解和应用概率论的原理。
1. If a card is drawn from a well-shuffled deck of 52 cards, what is the probability of getting different types of cards.2. If five cards - the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards and one card is picked up at random, what is the probability that the card is queen? If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace (b) a queen?3. If defective pens are accidentally mixed with good ones, then how to calculate the probability that the pen taken out is good one?4. A lot of bulbs contains some defective bulbs. One bulb is drawn at random. What is the probability that this bulb is defective? If bulb drawn is not defective and not replaced, now if one bulb is picked up, what is the probability that this bulb is not defective?5. A box contains some discs which are numbered. If one disc is drawn, what is the probability that it bears a two digit number, a perfect square number, a number divisible by 5.6. A dice has six alphabetic faces, one appearing twice. What is the probability of getting (A) and (D)?7. If a die is dropped at random on the rectangular region, what is the probability that it will land inside the circle with diameter 1m given in figure?8. A lot consists of ball pens some of which are defective. Nuri will buy the pen if it is good. What is the probability that she will buy the pen drawn at random by the shopkeeper?9. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. If the result is three heads or three tails, it means winning. Calculate the probability of losing the game?10. A die has different numbers some appearing twice. The score obtained on throwing it twice is noted in table. What is the probability that the total score is even, 6, and at least 6?
