An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
A coin has two faces: head $(H)$ and tail $(T)$.
A die has six faces that are numbered from $1$ to $6,$ with one number on each face.
Thus, in the given experiment, the sample space is given by
$S =\{ HH , \,HT , \,T1, \,T2, \,T3,\, T4, \,T5,\, T 6\}$
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- [KVPY 2011]
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