sample space of probability












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A jar contains 4 coins: a 20 cent coin (T), an old 50 cent coin (F0), a new 50 cent coin (Fn), and a dollar coin (D). Two coins are randomly picked without replacement in the jar. assume all pairs of coins have an equal chance of being selected.



My answer is



{TF0, TFn, TD, FoFn, Fo,D, FnD}



this is correct but i have a question. For example the first one, TF0, i picked T first but what if i end up picking F0 first then i picked T. meaning its F0T. Do i need to include this in the sample space? why










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  • What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
    – N. F. Taussig
    Nov 27 '18 at 19:17
















0














A jar contains 4 coins: a 20 cent coin (T), an old 50 cent coin (F0), a new 50 cent coin (Fn), and a dollar coin (D). Two coins are randomly picked without replacement in the jar. assume all pairs of coins have an equal chance of being selected.



My answer is



{TF0, TFn, TD, FoFn, Fo,D, FnD}



this is correct but i have a question. For example the first one, TF0, i picked T first but what if i end up picking F0 first then i picked T. meaning its F0T. Do i need to include this in the sample space? why










share|cite|improve this question






















  • What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
    – N. F. Taussig
    Nov 27 '18 at 19:17














0












0








0







A jar contains 4 coins: a 20 cent coin (T), an old 50 cent coin (F0), a new 50 cent coin (Fn), and a dollar coin (D). Two coins are randomly picked without replacement in the jar. assume all pairs of coins have an equal chance of being selected.



My answer is



{TF0, TFn, TD, FoFn, Fo,D, FnD}



this is correct but i have a question. For example the first one, TF0, i picked T first but what if i end up picking F0 first then i picked T. meaning its F0T. Do i need to include this in the sample space? why










share|cite|improve this question













A jar contains 4 coins: a 20 cent coin (T), an old 50 cent coin (F0), a new 50 cent coin (Fn), and a dollar coin (D). Two coins are randomly picked without replacement in the jar. assume all pairs of coins have an equal chance of being selected.



My answer is



{TF0, TFn, TD, FoFn, Fo,D, FnD}



this is correct but i have a question. For example the first one, TF0, i picked T first but what if i end up picking F0 first then i picked T. meaning its F0T. Do i need to include this in the sample space? why







probability






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asked Nov 27 '18 at 19:11









Erikien

494




494












  • What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
    – N. F. Taussig
    Nov 27 '18 at 19:17


















  • What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
    – N. F. Taussig
    Nov 27 '18 at 19:17
















What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
– N. F. Taussig
Nov 27 '18 at 19:17




What matters here are which two coins are picked not the order in which the coins are picked. You could represent the sample space as ${{T, F_0}}, {T,F_n}, {T,D}, {F_0, F_n}, {F_0,D}, {F_n, D}}$ so that the reader knows we are interested in which pair of coins is selected.
– N. F. Taussig
Nov 27 '18 at 19:17















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