sample space of probability
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
add a comment |
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
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
add a comment |
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
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
probability
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
add a comment |
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
add a comment |
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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