Best Engineering Mathematics Tips & Tricks:Probability & Statistics

hi everybody now I am going to teach you the probability and statistics first of all let me explain what this probability probability is nothing but a particular event may happen or may not happen we define a probability as a mathematical measure of occurrence of an event it can be a random experiment suppose before I move on to the topic I just want you to tell you the basic concepts without that you cannot understand anything in this so first one random experiment so these are the basic concepts and experiment in which the outcome cannot be predicted cannot be predicted is called an random experiment suppose for example when we toss a coin we cannot say the occurrence may be head or tail we cannot say which one will come so therefore it is called a random experiment so in which the outcome cannot be predicted this is what we call it as random experiment now try an uneven in tossing a coin tossing is called a trial is called a trial and occurrence of event that is occurrence of head or tail is called an event suppose when we throw or die we may get the outcomes as two three anything four five six anything so throwing a die is called the trial and occurrence of two three so on is called the event this is what the trial and event next one mutually exclusive events mutually exclusive events to events are said to be mutually exclusive events if the occurrence of one event if the occurrence of one event excludes the occurrence of the other image suppose when we toss a coin we may get head or tail the one even maybe head the other even maybe head or it will be a tail also so both cannot happen at the same time therefore we say that these are mutually exclusive events now exhaustive evens exhaustive events the total number of possible outcomes in any trial in any trial is called exhaustive evils so in tossing a coin we'll get to outcome so both the outcomes we call it as too exhaustive evens this is what exhaustive evens next one mutually independent events which is very very important for multiplication law of probability so for multiplication law of probability we need to satisfy mutually independent events mutually independent event is one of the important concept that is when two or more events are said to be mutually independent events that is the result of one event does not affect the affect the result of the other event so this is very very important that is the word does not affect so when you are tossing any coin or something for whatever the result we are getting in the first event it should not affect the result of the other event so we can have two or more events here in usually independent events now the next one is definition of probability definition of probability let n be the total number of total number of cases and youngbae the number of favorable cases then No probability of probability of happening of an event of an event e is denoted by P of e so what does it mean n is the number of cases total number of cases and EMB the number of favorable cases then the probability of happening of event is denoted by P of e that is P of E is equals to number of favorable cases number of favorable cases divided by total number of cases that is young by n example suppose find the probability of find the probability of getting four in a throw of a dying so this is the question find the probability of getting in a throw off or die so what is it number of favorable cases divided by total number of cases first you should check what is the total number of Eva's how will you take it first you have to take what are the outcomes in a throw off a die how many outcomes are there in a throw off a tile there are solution there are six outcomes in a throw over dying namely what are they one two three four five six now what they asked getting for not throw over die first you write on therefore the total number of events is total number of events is equals to 6 and we need to get the probability of getting four therefore number of favorable cases is favorable evens is one therefore the required probability is therefore the required probability is 1 by 6 so this is how you need to find the probability this is the basic definition

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Id: BA6L5U9zuZM

Length: 12min 39sec (759 seconds)

Published: Mon Oct 31 2016