possible out come

[bandula]

Consider the rolling fair a die

i). write down the sample space ,all single events , all possible events

(i). Ω = {1,2,3,4,5,6} all single events = 6 {1} {2} {3} {4} {5} {6}
what is mean by possible events?
ø {1} {2} {3} {4} {5} {6}
is correct

 

[lex]

Without any indication to the contrary, potentially every subset of [MATH]\Omega[/MATH] may be considered an Event. Unfortunately there are [MATH]2^6=64[/MATH] such subsets!
Without any indication to the contrary, I suppose you could say that potentially, the set of Events is the powerset of [MATH]\Omega[/MATH], (the set of all subsets), which is denoted [MATH]2^\Omega[/MATH]. In any case the set of Events is a subset of the powerset.

 

[Dr.Peterson]

Consider the rolling fair a die

i). write down the sample space ,all single events , all possible events

(i). Ω = {1,2,3,4,5,6} all single events = 6 {1} {2} {3} {4} {5} {6}
what is mean by possible events?
ø {1} {2} {3} {4} {5} {6}
is correct

An example of an event would be X>3, which is {4, 5, 6}. This is not an individual outcome (which I think is what they mean by "single event"), but a subset of outcomes whose probability one might ask for (e.g. making a bet on).

So, as @lex said, you need to list all subsets of your sample space: not just the 7 you listed (the first of which has probability 0, so they may not want you to include this as a possible event), but for example {1, 2}, {2, 5, 6}, and so on. They may be asking you to write that out just this once, to show you that you don't want to have to do that all the time!

 

[bandula]

[/MATH][/MATH]
Without any indication to the contrary, potentially every subset of [MATH]\Omega[/MATH] may be considered an Event. Unfortunately there are [MATH]2^6=64[/MATH] such subsets!
Without any indication to the contrary, I suppose you could say that potentially, the set of Events is the powerset of [MATH]\Omega[/MATH], (the set of all subsets), which is denoted [MATH]2^\Omega[/MATH]. In any case the set of Events is a subset of the powerset.

Thanks for you.

 

[bandula]

An example of an event would be X>3, which is {4, 5, 6}. This is not an individual outcome (which I think is what they mean by "single event"), but a subset of outcomes whose probability one might ask for (e.g. making a bet on).

So, as @lex said, you need to list all subsets of your sample space: not just the 7 you listed (the first of which has probability 0, so they may not want you to include this as a possible event), but for example {1, 2}, {2, 5, 6}, and so on. They may be asking you to write that out just this once, to show you that you don't want to have to do that all the time!

An example of an event would be X>3, which is {4, 5, 6}. This is not an individual outcome (which I think is what they mean by "single event"), but a subset of outcomes whose probability one might ask for (e.g. making a bet on).

So, as @lex said, you need to list all subsets of your sample space: not just the 7 you listed (the first of which has probability 0, so they may not want you to include this as a possible event), but for example {1, 2}, {2, 5, 6}, and so on. They may be asking you to write that out just this once, to show you that you don't want to have to do that all the time!

thanks