IB DP Maths: AI SL復習筆記4.3.2 Conditional Probability
Conditional Probability
What is conditional probability?
- Conditional?probability?is where the probability of an?event?happening can vary depending on the outcome of a prior event
- The event?A?happening?given that?event?B?has happened is denoted?A|B
- A common example of conditional probability involves selecting multiple objects from a bag?without replacement
- The probability of selecting a certain item changes depending on what was selected before
- This is because the total number of items will change as they are not replaced once they have been selected
- The probability of selecting a certain item changes depending on what was selected before
How do I calculate conditional probabilities?
- Some conditional probabilities can be calculated by using counting outcomes
- Probabilities without replacement can be calculated like this
- For example: There are 10 balls in a bag, 6 of them are red, two of them are selected without replacement
- To find the probability that the second ball selected is red given that the first one is red count how many balls are left:
Worked Example
In a class of 30 students: 19 students have a dog, 17 students have a cat and 11 have both a dog and a cat. One student is selected at random.
a)Find the probability that the student has a dog.
b)Find the probability that the student has a dog given that they have a cat.
c)Find the probability that the student has a cat given that they have a dog.
轉載自savemyexams
以上就是關于【IB DP Maths: AI SL復習筆記4.3.2 Conditional Probability】的解答，如需了解學校/賽事/課程動態，可至翰林教育官網獲取更多信息。
往期文章閱讀推薦：
IB大考7月6日放榜！查分·復議·補錄·Plan B，一份保姆級Results Day全攻略請收好！
IBO官宣2027年課改：數學、語言、藝術全調整，你的學習計劃要更新了！
翰林AMC8視頻課重磅上線！
國際競賽真題資源免費領取
