JEE Exam  >  JEE Videos  >  Mathematics (Maths) Class 12  >  Understanding Conditional Probability with an Example

Understanding Conditional Probability with an Example Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|290 docs|139 tests

Top Courses for JEE

FAQs on Understanding Conditional Probability with an Example Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is conditional probability?
Ans. Conditional probability is a mathematical concept that measures the likelihood of an event occurring given that another event has already occurred. It is denoted by P(A|B), where A and B are two events. It helps us understand the relationship between two events and how the occurrence of one event influences the probability of the other.
2. How is conditional probability calculated?
Ans. Conditional probability is calculated using the formula: P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) represents the probability of both events A and B occurring simultaneously, and P(B) represents the probability of event B occurring. By dividing the probability of both events occurring by the probability of event B, we obtain the conditional probability of event A given event B.
3. Can you give an example of conditional probability?
Ans. Sure! Let's consider an example: Suppose we have a deck of cards and we draw two cards successively without replacement. What is the probability of drawing a king on the second draw, given that the first card drawn was a king? Here, the probability of drawing a king on the first draw is 4/52 (since there are 4 kings in a deck of 52 cards). After the first king is drawn, there are now 51 cards remaining, with 3 kings left. Therefore, the probability of drawing a king on the second draw, given that the first card drawn was a king, is 3/51.
4. How is conditional probability related to independent events?
Ans. If two events, A and B, are independent, then the occurrence of one event does not affect the probability of the other event. In this case, the conditional probability is simply the probability of event A, as it is not influenced by event B. Mathematically, if A and B are independent, then P(A|B) = P(A).
5. Can conditional probability be greater than 1?
Ans. No, conditional probability cannot be greater than 1. The probability of an event occurring is always between 0 and 1, inclusive. If the conditional probability of event A given event B is greater than 1, it implies that the probability of event A occurring is greater than the probability of event B occurring, which is not possible.
204 videos|290 docs|139 tests
Explore Courses for JEE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Exam

,

Viva Questions

,

shortcuts and tricks

,

Understanding Conditional Probability with an Example Video Lecture | Mathematics (Maths) Class 12 - JEE

,

study material

,

pdf

,

mock tests for examination

,

video lectures

,

Summary

,

practice quizzes

,

Semester Notes

,

Objective type Questions

,

Previous Year Questions with Solutions

,

Understanding Conditional Probability with an Example Video Lecture | Mathematics (Maths) Class 12 - JEE

,

past year papers

,

Free

,

Sample Paper

,

Extra Questions

,

ppt

,

MCQs

,

Understanding Conditional Probability with an Example Video Lecture | Mathematics (Maths) Class 12 - JEE

,

Important questions

;