Correct Answer - Option 3 : 5/18
Given:
Two fair dice are rolled at random.
Concepts used:
A fair die is numbered from 1 to 6 with probability of coming of each number being 1/6.
Total number of outcomes on roll of two dice = 36
Calculation:
Getting a total of at most 5 means getting a total of 5 or total equal to less than 5.
⇒ Number of outcomes with total of 5 or less than 5 on two dice = {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)} = 10
⇒ Probability of getting a total of at most 5 = 10/36 = 5/18
∴ Probability of getting a total of at most 5 is 5/18.
