The probability that Kim has a math test today is $\frac{4}{7}$. What is the probability that Kim does not have a math test today? Express your answer as a common fraction.
The probability that Kim does not have a math test is equal to one minus the probability she does have a math test. So, the probability of not having a math test is $1 - \frac{4}{7} = \boxed{\frac{3}{7}}$.
\frac{3}{7}
Level 1
Counting & Probability
Problem: The probability that Kim has a math test today is $\frac{4}{7}$. What is the probability that Kim does not have a math test today? Express your answer as a common fraction.
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the probability that Kim does not have a math test today, we need to understand the relationship between the probability of an event and its complement. The probability of an event and the probability of its complement always sum to 1. 

Let P(A) be the probability that Kim has a math test today. According to the problem, P(A) = 4/7. 

The complement of this event, which we can denote as P(A'), is the probability that Kim does not have a math test today. 

Using the formula for complementary probabilities, we have:

P(A') = 1 - P(A).

Substituting the known value:

P(A') = 1 - 4/7.

To perform the subtraction, we convert 1 into a fraction with a denominator of 7:

1 = 7/7.

Now we can subtract:

P(A') = 7/7 - 4/7 = (7 - 4)/7 = 3/7.

Thus, the probability that Kim does not have a math test today is 3/7. 

The final answer is 3/7.<|END_OF_LATENT|> The final answer is $\frac{3}{7}$.