Each die has a 1/2 shot at landing even, and since the rolls don't affect each other, you just multiply (1/2) four times and get 1/16.
Recognize that each die roll is independent and has a 1/2 chance of being even. Since there are four independent rolls, multiply the probabilities together to get (1/2)^4 = 1/16. Alternatively, note that the total number of outcomes is 6^4 and the number of favorable outcomes is 3^4, giving 3^4/6^4 = 1/16.
Pro tip: State the independence assumption explicitly and simplify the fraction to show you're detail-oriented. Mention that the grouping into two rolls of two dice doesn't affect the probability because each die is independent.
A fair six-sided die has three even numbers (2, 4, 6), so the probability of rolling an even number is 3/6 = 1/2.
Each die roll is independent, so the outcome of one roll does not affect the others. The grouping into two rolls of two dice is irrelevant.
For independent events, multiply the individual probabilities: (1/2) * (1/2) * (1/2) * (1/2) = (1/2)^4 = 1/16.
Alternatively, compute the total number of outcomes (6^4 = 1296) and the number of favorable outcomes (3^4 = 81), then divide: 81/1296 = 1/16.
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