What is the sample space of the sum of two 6-sided die where the first number is less than 4? find the answer
To determine the sample space of the sum of two 6-sided dice where the first number is less than 4, we need to consider the possible outcomes when the first die's value is less than 4.
Since the first die has 6 sides, the possible values can be: 1, 2, 3.
Regardless of the value of the first die, the second die can also have a value from 1 to 6.
Therefore, the sample space for the sum of two 6-sided dice where the first number is less than 4 is:
{2, 3, 4, 5, 6, 7, 8, 9}
Note: This is obtained by taking the sum of every possible combination of the given dice's values.