What is the sample space of the product of two 6-sided die where the first number is
4
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List your values from smallest to largest.
The sample space of the product of two 6-sided dice, where the first number is 4, can be determined by making a list of all possible outcomes where the first dice is a 4 and then multiplying each outcome by the numbers on the second dice.
Since the first dice has only one possible outcome (which is 4), we can multiply it by each number on the second dice to get the following values:
4 * 1 = 4
4 * 2 = 8
4 * 3 = 12
4 * 4 = 16
4 * 5 = 20
4 * 6 = 24
So, the sample space in this case would be: {4, 8, 12, 16, 20, 24}.