Probability of Science Fair Participation

In a class of 30 students, each student is participating in either a math competition or a science fair. The probability that a randomly selected student is participating in the math competition is $\frac{2}{3}$, and the probability that a randomly selected student is participating in both events is $\frac{1}{5}$.

Let $M$ be the event that a student participates in the math competition and $S$ be the event that a student participates in the science fair. Based on this information, answer the following:

What is the probability that a randomly selected student participates in the science fair?