Let $W_t$ be a standard Brownian motion.
Find $P(W_1 > 1 \cap W_2 < 1)$.
I tried to do something on my own, but because I'm new to Brownian motion, I'm stuck at the beginning of the calculations.
My attempt:
Note that $W_2 = W_1 + W_2 - W_1$. Also, note that $W_1$ and $W_2 - W_1$ are independent, and $W_2 - W_1 \sim N(0,1)$.