sample space of probability
$begingroup$
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
asked Nov 27 '18 at 19:11
ErikienErikien
494
$endgroup$
add a comment |
$begingroup$
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
asked Nov 27 '18 at 19:11
ErikienErikien
494
$endgroup$
$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17
add a comment |
$begingroup$
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
asked Nov 27 '18 at 19:11
ErikienErikien
494
$endgroup$
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
ErikienErikien
494
asked Nov 27 '18 at 19:11
ErikienErikien
494
asked Nov 27 '18 at 19:11
ErikienErikien
494
asked Nov 27 '18 at 19:11
ErikienErikien
494
asked Nov 27 '18 at 19:11
ErikienErikien
494
494
$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17
add a comment |
$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17
$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17
$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17
add a comment |
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$begingroup$
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.
$endgroup$
– N. F. Taussig
Nov 27 '18 at 19:17