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Question

The probability of getting 'atmost two heads' on tossing three coins simultaneously is.
  1. 38
  2. 12
  3. 78
  4. 34
  5. 58


Solution

The correct option is C 78
Sample space = {HHH, HHT, HTH, THH, TTT, THT, TTH, HTT)
Total no. of outcomes = 8
Atmost two heads means: 0 head, 1 head, 2 head.
Favourable outcomes ( for atmost two heads) =  (HHT, HTH, THH, TTT, THT, TTH, HTT)
Number of favorable outcomes = 7
Required probability = 78

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