A single die is rolled twice. The 36 equall-likely outcomes are shown to the right.
Find the probability of getting a first number that is less than the second number.
To find the probability of getting a first number that is less than the second number, we need to determine the number of outcomes where the first number is less than the second number and divide it by the total number of outcomes.
Looking at the 36 equally likely outcomes, the numbers on the die range from 1 to 6.
The outcomes where the first number is less than the second number are as follows:
(1,2) (1,3) (1,4) (1,5) (1,6)
(2,3) (2,4) (2,5) (2,6)
(3,4) (3,5) (3,6)
(4,5) (4,6)
(5,6)
There are a total of 15 outcomes where the first number is less than the second number.
Therefore, the probability of getting a first number that is less than the second number is 15/36, which simplifies to 5/12.