For an unbiased coin how many possible outcomes are there for a coin tossed 8 times?

  1. \(\rm^8C_2\)
  2. 8!
  3. 28
  4. 82

Answer (Detailed Solution Below)

Option 3 : 28
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Detailed Solution

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If we toss a coin 2 times, the sample space is (HH, HT, TH, TT)

Then the number of sample points is = 4 = 22

Now, if we toss a coin 3 times, the sample space is (HHH, HHT, HTT, HTH, THT, THH, TTT, TTH)

Then the number of sample points is  = 8 =23

Similarly, for 8 times toss:

Total cases = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256 or 28

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