
Ten > Probability
If a coin is tossed n times, what is its sample space?
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Solution
Option C is the correct answer.
Let us consider the coin is tossed 1, 2, 3, ..., upto n times. Let the corresponding sample space be S1, S2, S3, ..., Sn.
S1 = 2 (Heads or Tails)
S2 = 4 (HH, HT, TH, TT)
S3 = 8 (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT)
Each sample space where n is the number of times a coin is tossed, the corresponding sample spaces are $\text{2^{n}}$.
Hence, if a coin is tossed n times, its sample space is $\text{2^{n}}$.
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