Conditional Probability to Determine Independence

You apply to grad schools at Carnegie Mellon University ($C$) and Penn State University ($P$).

• Probability accepted into Carnegie Mellon is $0.13$.

• Probability accepted into PSU is $0.6$.

• Probability of being accepted to both is $0.07$.

---

Noting the probabilities:

$P(C) = 0.13, P(P) = 0.6$, and $P(H \cap P) = 0.11$

---

Are events getting accepted into Carnegie Mellon and into Penn State independent events?