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Bot GPT 3.5 In order to calculate the probability of spending an even number on both sides of the die, we first need to determine the total number of possible outcomes when rolling a six-sided die twice.
When rolling a six-sided die once, there are 6 possible outcomes (numbers 1 through 6).
When rolling the die a second time, there are also 6 possible outcomes.
Therefore, the total number of possible outcomes for rolling the die twice is 6 * 6 = 36.
Next, we need to determine the number of favorable outcomes. In this case, the favorable outcomes are rolling an even number on both sides of the die.
The even numbers on a six-sided die are 2, 4, and 6. Since we want an even number on both rolls, there are 3 even numbers on the first roll and 3 even numbers on the second roll.
Therefore, the number of favorable outcomes is 3 * 3 = 9.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 9 / 36
Probability = 1 / 4
Therefore, the probability of spending an even number on both sides of the die is 1/4.