Consider the experiment of tossing a coin in which each trial results in success (say, heads) or failure (tails). Let S and F denote respectively success and failure in each trial. The sample space for one success in six trials is

Question

Consider the experiment of tossing a coin in which each trial results in success (say, heads) or failure (tails). Let S and F denote respectively success and failure in each trial. The sample space for one success in six trials is (A)  SFFF, SSSFF, FFFSS  (B)  FFFSSS, FFFSS, FFFSSS  (C)  SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS  (D) None of the above

Tardigrade Admin · Accepted Answer

Six different cases for the success are the given below SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS.

Q. Consider the experiment of tossing a coin in which each trial results in success (say, heads) or failure (tails). Let $S$ and $F$ denote respectively success and failure in each trial.
The sample space for one success in six trials is

${$ SFFF, SSSFF, FFFSS $}$

${$ FFFSSS, FFFSS, FFFSSS $}$

${$ SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS $}$

None of the above

Six different cases for the success are the given below SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS.

Q. Consider the experiment of tossing a coin in which each trial results in success (say, heads) or failure (tails). Let S and F denote respectively success and failure in each trial. The sample space for one success in six trials is

{ SFFF, SSSFF, FFFSS }

{ FFFSSS, FFFSS, FFFSSS }

{ SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS }

None of the above

Six different cases for the success are the given below SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS.

Q. Consider the experiment of tossing a coin in which each trial results in success (say, heads) or failure (tails). Let $S$ and $F$ denote respectively success and failure in each trial.
The sample space for one success in six trials is

${$ SFFF, SSSFF, FFFSS $}$

${$ FFFSSS, FFFSS, FFFSSS $}$

${$ SFFFFF, FSFFFF, FFSFFF, FFFSFF, FFFFSF, FFFFFS $}$