Ten > Probability
Asked by Atith Adhikari · 1 year ago

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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