CA Foundation Exam > CA Foundation Questions > For two independent events A and B, what is P...
Start Learning for Free
For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3?
Most Upvoted Answer
For two independent events A and B, what is P (A B), given P(A)=3/5 an...
When 2 events are independent then
p(AB)=P(A)×P(B)
=3/5×2/3
=6/15
= 0.4
p(AB)=P(A)×P(B)
=3/5×2/3
=6/15
= 0.4
Community Answer
For two independent events A and B, what is P (A B), given P(A)=3/5 an...
P(A B) for Independent Events
When dealing with two independent events A and B, the probability of both events occurring, denoted as P(A ∩ B), can be calculated using the multiplication rule for independent events.
Understanding Independence
- Events A and B are independent if the occurrence of one does not affect the occurrence of the other.
- This means that P(A | B) = P(A) and P(B | A) = P(B).
Formula for Independent Events
- The probability of both events A and B happening together is calculated as:
P(A ∩ B) = P(A) × P(B)
Given Probabilities
- We have:
- P(A) = 3/5
- P(B) = 2/3
Calculating P(A ∩ B)
- Substitute the given probabilities into the formula:
P(A ∩ B) = (3/5) × (2/3)
- Perform the multiplication:
- Numerator: 3 × 2 = 6
- Denominator: 5 × 3 = 15
- Therefore,
P(A ∩ B) = 6/15
- Simplifying the fraction:
P(A ∩ B) = 2/5
Final Answer
Thus, the probability of both events A and B occurring together is:
P(A ∩ B) = 2/5
When dealing with two independent events A and B, the probability of both events occurring, denoted as P(A ∩ B), can be calculated using the multiplication rule for independent events.
Understanding Independence
- Events A and B are independent if the occurrence of one does not affect the occurrence of the other.
- This means that P(A | B) = P(A) and P(B | A) = P(B).
Formula for Independent Events
- The probability of both events A and B happening together is calculated as:
P(A ∩ B) = P(A) × P(B)
Given Probabilities
- We have:
- P(A) = 3/5
- P(B) = 2/3
Calculating P(A ∩ B)
- Substitute the given probabilities into the formula:
P(A ∩ B) = (3/5) × (2/3)
- Perform the multiplication:
- Numerator: 3 × 2 = 6
- Denominator: 5 × 3 = 15
- Therefore,
P(A ∩ B) = 6/15
- Simplifying the fraction:
P(A ∩ B) = 2/5
Final Answer
Thus, the probability of both events A and B occurring together is:
P(A ∩ B) = 2/5
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Top Courses for CA FoundationView all
For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3?
Question Description
For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3?.
For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3?.
Solutions for For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? defined & explained in the simplest way possible. Besides giving the explanation of
For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3?, a detailed solution for For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? has been provided alongside types of For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? theory, EduRev gives you an
ample number of questions to practice For two independent events A and B, what is P (A B), given P(A)=3/5 and P(B)=2/3? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup