Maths

>

A-Level

>

Probability

>

What is a ...

Question
# What is a generalised formula for independent events?

2 years ago

·

26 Replies

·

3548 views

C

Christiana Schimmel

26 Answers

N

Nina Chopra

P(A and B)= P(A)xP(B)

Phanuel M
Verified Sherpa Tutor ✓

An Excellent Maths & Physics Teacher who is also an Examiner.

7 reviews

P(A and B) = P(A) * P(B)

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
M

Mahmudur Rahman

Two events are independent if the probability of happening both of the event at the same time is just the product of the indivial probability of those two events. If you have mulitple events thatare independent then just multiply all of them out. Now there is a catch that some might be dependent and some might not. And things get more interesting when you get into the domain of stochastic processes.

Shamim H
Verified Sherpa Tutor ✓

Experienced Maths Teacher (16 yrs) & Examiner for 2 Major Exam Boards

29 reviews

Yes P(A Intersection B) = P(A) x P(B)

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
E

Elisa Bellosta

Events A and B are independent if P(A|B) = P(A). In other words, whether or not B happens has no effect on the probability of A happening. P(A∩B) = P(A) x P(B). That is, the probability of both A and B happening is the product of their individual probabilities

Devan-Kumar M
Verified Sherpa Tutor ✓

Young experienced tutor w a unique understanding of exam specification

3 reviews

For two independent events, A and B, P(A|B)=P(A) and P(B|A)=P(B), but also P(A,B)=P(A)P(B). If you can verify that one of these statements is true for two events A and B, then these events are independent and the other statements will also be true.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
Gevik G
Verified Sherpa Tutor ✓

Mathematics PhD Researcher with a Passion for Teaching Science & Maths

If A and B are two independent events, then the probability of their intersection is equal to the product of the probabilities of each event, that is, P(A n B) = P(A) x P(B)

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
William N
Verified Sherpa Tutor ✓

Maths, Further Maths, Physics, Chemistry, Science, PAT, MAT, STEP

*P(A and B) = P(A) * P(B)*

*P(A and B)* means the probability of *A* and *B* both occurring is called a **compound event**.

*P(A)* means the probability of *A* occurring.

*P(B)* means the probability of *B* occurring.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
N

Nicholas Mannan

Independent events are defined as events where their probabilities won't affect each other. Therefore one formula for independent events is P(A and B) = P(A)P(B)

L

Labianta Lekiqi

the generalised formula for independent events for events A and B is

P(A) x P(B)= P(A intersection B)

Intersection symbol looks like n

Manjit D
Verified Sherpa Tutor ✓

Experienced GCSE and A level Maths teacher with 500 hours online

There are 2 ways to test for independence

1) P( AnB) = P(A) x P(B)

2) P( A/B) = P(A)

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
Ahmad
Verified Sherpa Tutor ✓

A sought after tutor with an impeccable record of success

An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

Mathematically, we can say the events A and B are independent if P(A and B) = P(A) x P(B)

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
Genevieve J
Verified Sherpa Tutor ✓

Qualified maths teacher with 2 years KS3/4 classroom experience

P(A and B) = P(A) x P(B)

where A and B are independent events

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
M

Muhammad Yousaf Riaz

P (A and B) = P(A) x P(B)

AND implies to intersection of both said events. If there are more than two events you can add it to the above formula sequentially e.g,

P( A,B and C) = P(A) x P(B) x P(C)

Paul G
Verified Sherpa Tutor ✓

Very experienced A-level Maths & Further Maths teacher

9 reviews

There are two formulae to be familiar with concerning independence; the one is a consequence of the other.

- Events A and B are independent if P(A|B) = P(A). In other words, whether or not B happens has no effect on the probability of A happening.
- P(A∩B) = P(A) x P(B). That is, the probability of
**both**A and B happening is the product of their individual probabilities.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.Think you can help?

More Maths A-Level Questions
##
Need
an A-Level
Maths
tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find an A-Level Maths Tutor