Sponsor Area

Probability

Question
CBSEENMA12033607

A coin is tossed three times, where
E : at most two tails , F : at least one tail

Solution

Here S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
       E: at most two tails
therefore space space straight E space equals space open curly brackets HHH comma space HHT comma space HTH comma space THH comma space TTH comma space THT comma space HTT close curly brackets
      F: at least one tail
therefore space space space straight F space equals space open curly brackets HHT comma space HTH comma space THH comma space TTH comma space THT comma space HTT comma space TTT close curly brackets
therefore space space space space straight E space intersection thin space straight F space equals space open curly brackets HHT comma space HTH comma space THH comma space TTH comma space THT comma space HTT close curly brackets
therefore space space space straight P left parenthesis straight E right parenthesis space equals space 7 over 8 comma space space space straight P left parenthesis straight F right parenthesis space equals space 7 over 8 comma space space straight P left parenthesis straight E intersection straight F right parenthesis space equals space 6 over 8 space equals 3 over 4
therefore space space space space straight P left parenthesis straight E space left enclose straight F right parenthesis space space equals space fraction numerator straight P left parenthesis straight E intersection straight F right parenthesis over denominator straight P left parenthesis straight F right parenthesis end fraction space equals fraction numerator begin display style 6 over 8 end style over denominator begin display style 7 over 8 end style end fraction space equals space 6 over 7.
      
   

Some More Questions From Probability Chapter