Mila plays a game in which she only wins if she rolls a 1 or a 2 with a standard die. What is the probability Mila will win the game? Explain your reasoning.

A) \(\frac{1}{6}\); Mila has 2 favorable outcomes out of 12 possible outcomes
B) \(\frac{1}{3}\); Mila has 4 favorable outcomes out of 12 possible outcomes
C) \(\frac{1}{2}\); Mila has 6 favorable outcomes out of 12 possible outcomes
D) \(\frac{2}{3}\); Mila has 8 favorable outcomes out of 12 possible outcomes

The probability Mila wins the game by rolling a 1 or a 2 on a six-sided die is 1/3, as there are two favorable outcomes (rolling a 1 or a 2) out of six possible outcomes when rolling a single die.

Explanation:

The question involves calculating the probability that Mila wins a game by rolling a 1 or a 2 with a standard, six-sided die. The die has the numbers 1 through 6 on its faces, with each face having an equal chance of landing on top. When dealing with probabilities, if we want to find the probability of an 'event'—which in this case is rolling a 1 or a 2—we add the probabilities of the individual outcomes that make up that event. The probability of rolling a 1 is 1/6, and the probability of rolling a 2 is also 1/6.

Therefore, the probability that Mila wins by rolling a 1 or a 2 is:

(probability of rolling a 1) + (probability of rolling a 2) = (1/6) + (1/6) = 2/6

When simplified, 2/6 becomes 1/3. So the correct answer is B) 1/3; Mila has 2 favorable outcomes out of 6 possible outcomes, not 12 as stated in the question.