Final answer:
The probability to obtain a sum of less than 6 when two dice are tossed is 1/6.
Step-by-step explanation:
To find the probability of obtaining a sum of less than 6 when two dice are tossed, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
The sample space of two dice being tossed is {1, 2, 3, 4, 5, 6} for each die. To obtain a sum of less than 6, we consider the following outcomes: (1,1), (1,2), (1,3), (2,1), (2,2), (3,1). Therefore, we have 6 favorable outcomes.
The total number of possible outcomes is 6 (for the first die) multiplied by 6 (for the second die), which gives us 36.
The probability is calculated by dividing the number of favorable outcomes (6) by the total number of possible outcomes (36): 6/36 = 1/6.