(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) }; n S ( ) = 36

( , ),( , ),( , ),( , ),( , ),( , ) }; n S ( ) = (i) Let A be the event of getting the sum of outcome values equal to . Then A = {( , ),( , ),( , )}; n A ( ) = . Probability of getting the sum of outcomes equal to is P A n A n S (ii) Let B be the event of getting the sum of outcome values greater than . Then B = {( , ),( , ),( , )}; n B ( ) = Probability of getting the sum of outcomes greater than is P B n B n S (iii) Let C be the event of getting the sum of outcomes less than . Here all the outcomes have the sum value less than . Hence C S Therefore, n C n S = Probability of getting the total value less than is P C n C n S . Example . Two coins are tossed together. What is the probability of getting different faces on the coins? Solution When two coins are tossed together, the sample space is