A game consists of  tossing a one rupee coin three times and noting its outcome each time. Ramesh wins if all the tosses give the same result, that is three heads or three tails and loses the game otherwise. Calculate the probability that Ramesh will lose the game.

Asked by Topperlearning User | 9th Nov, 2017, 02:55: PM

Expert Answer:

begin mathsize 12px style Possible space outcomes space equals space open curly brackets open parentheses straight H comma straight H comma straight H close parentheses comma open parentheses straight H comma straight H comma straight T close parentheses comma open parentheses straight H comma straight T comma straight H close parentheses comma open parentheses straight T comma straight H comma straight H close parentheses comma left parenthesis straight T comma straight T comma straight H right parenthesis comma left parenthesis straight T comma straight H comma straight T right parenthesis comma left parenthesis straight H comma straight T comma straight T right parenthesis comma left parenthesis straight T comma straight T comma straight T right parenthesis close curly brackets
Number space of space possible space outcomes space equals space 8
Number space of space putcomes space when space Ramesh space loses space the space game space equals space 8 minus 2 space equals space 6
Required space probability space equals space 6 over 8 equals 3 over 4 end style

Answered by  | 9th Nov, 2017, 04:55: PM