throw two dices once what is the probability of the total po

throw two dices once, what is the probability of the total points of the two dices are less than 8?

Solution

total no of choices are : 6*6 = 36 sum should be less than 8: sum = 2 : (1,1) sum = 3 : (1,2) , (2,1) sum = 4: (1,3) , (2,2) , (3,1) sum = 5 : (1,4) , (2,3) , (3,2) , (4,1) sum = 6 : (1,5) , (2,4) , (3,3) , (4,2) , (5,1) sum = 7 : (1,6 ) , (2,5) , (3,4) , (4,3) , (5,2) , (6,1) there are 21 options so as to the sum be less than 8 => probability is : 21/36 pl rate lifesaver