Answered: What is the similarities between…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

What is the similarities between conditional probability and the multiplication rule

Expert Solution

Step 1: Define conditional probability and the multiplication rule

Conditional probability is the probability of an event occurring given that another event has already occurred. It quantifies how the likelihood of one event changes if we know that another related event has taken place.

Mathematically, the conditional probability of event A given event B is denoted by $P left parenthesis A ∣ B right parenthesis$ and is defined as:

$P left parenthesis A ∣ B right parenthesis equals fraction numerator P left parenthesis A intersection B right parenthesis over denominator P left parenthesis B right parenthesis end fraction$

The multiplication rule provides a way to find the joint probability of two events happening at the same time. It can be derived from the formula for conditional probability.