Explain All types of Events in context of Probability with an example of each event.
Pls explain properly ^-^
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even : any subset of sample space is event
simple event: an event is called simple event if it is the singleton subset of sample space
compound events : it is the joint occurence of two or more simple events
equally likely events : a number of simple events are said to be equally likely if there is no reason for one event to occur in preference to any other event
exhaustive event : all the possible outcomes taken together in which an experiment can result are said to be exhaustive
mutually exclusive event : if two events can not occur simultaneously ,then they r mutually exclusive
complement of an event : if a set is A then its complement will be Ā ,will be set of all sample points of the space other than sample points in A
may it help u
simple event: an event is called simple event if it is the singleton subset of sample space
compound events : it is the joint occurence of two or more simple events
equally likely events : a number of simple events are said to be equally likely if there is no reason for one event to occur in preference to any other event
exhaustive event : all the possible outcomes taken together in which an experiment can result are said to be exhaustive
mutually exclusive event : if two events can not occur simultaneously ,then they r mutually exclusive
complement of an event : if a set is A then its complement will be Ā ,will be set of all sample points of the space other than sample points in A
may it help u
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Hey there!!
Down here ⏬
> What are Events in Probability ?
Events is a set of outcomes of an exporement to which a probability is assigned.
> Different Types of Events in Probability.
>> IMPOSSIBLE EVENTS : In this, the probability of occurrence of an event is 0. If the probability of an event is 1, it is called Sure event. The probability of impossible event is 0
e.g. : If a die is thrown, the probability of getting 8 is impossible event as there is only numbers up to 6 in a dice.
>> SIMPLE EVENT : Any event consisting of a single point of the same space is called Simple Event.
e.g. : S = {67, 36, 89, 23}
E = {36} then E is a simple event
>> COMPOUND EVENT : It Is just oppo site to simple event, that is, if any event consists of more than one single point of the sample space, it is called Compound Event.
e.g. : S = {34, 78, 12, 45, 90}
E1 = {34,45}
E2 = {78, 34, 90}
Then, E1 and E2 represent two cpmpound events.
>> INDEPENDENT EVENTS AND DEPENDANT EVENTS : If the occurrence of any event is completely unaffected. by occurrence of any other event, it is called Independent event and the events which are affected by other events us called Dependant events.
e.g. : Indepent event : You toss a coin and get a head and you toss another coin and get tail. The two coins doesn't depend each other.
Dependant event : The chances of you are hungry right now and the chance that you are eating right now, one leads to the other.
>> MUTUALLY EXCLUSIVE EVENTS : If occurence of one event is such that two events doesn't have any common point, that is, they are mutually exclusive events.
e.g. : If S = {1,2,3,4,5,6}
If E1 consists of numbers less than 3 and E2 consists of numbers greater than 4,
I.E, E1 = {1,2} E2 = {5,6}
>> EXHAUSTIVE EVENTS : A set of Events is called Exhaustive if all the events together consume the entire sample space.
e.g. : When rolling a six-sided die, the outcomes are 1,2,3,4,5,6 are collectively exhaustive, because they surround the entire range of possible outcomes.
Hope it helps. :)
Down here ⏬
> What are Events in Probability ?
Events is a set of outcomes of an exporement to which a probability is assigned.
> Different Types of Events in Probability.
>> IMPOSSIBLE EVENTS : In this, the probability of occurrence of an event is 0. If the probability of an event is 1, it is called Sure event. The probability of impossible event is 0
e.g. : If a die is thrown, the probability of getting 8 is impossible event as there is only numbers up to 6 in a dice.
>> SIMPLE EVENT : Any event consisting of a single point of the same space is called Simple Event.
e.g. : S = {67, 36, 89, 23}
E = {36} then E is a simple event
>> COMPOUND EVENT : It Is just oppo site to simple event, that is, if any event consists of more than one single point of the sample space, it is called Compound Event.
e.g. : S = {34, 78, 12, 45, 90}
E1 = {34,45}
E2 = {78, 34, 90}
Then, E1 and E2 represent two cpmpound events.
>> INDEPENDENT EVENTS AND DEPENDANT EVENTS : If the occurrence of any event is completely unaffected. by occurrence of any other event, it is called Independent event and the events which are affected by other events us called Dependant events.
e.g. : Indepent event : You toss a coin and get a head and you toss another coin and get tail. The two coins doesn't depend each other.
Dependant event : The chances of you are hungry right now and the chance that you are eating right now, one leads to the other.
>> MUTUALLY EXCLUSIVE EVENTS : If occurence of one event is such that two events doesn't have any common point, that is, they are mutually exclusive events.
e.g. : If S = {1,2,3,4,5,6}
If E1 consists of numbers less than 3 and E2 consists of numbers greater than 4,
I.E, E1 = {1,2} E2 = {5,6}
>> EXHAUSTIVE EVENTS : A set of Events is called Exhaustive if all the events together consume the entire sample space.
e.g. : When rolling a six-sided die, the outcomes are 1,2,3,4,5,6 are collectively exhaustive, because they surround the entire range of possible outcomes.
Hope it helps. :)
AkshithaZayn:
tq
thnx ^-^ .. Expecting answer like this
:)
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