You have two coins in front of you: red and blue. The blue coin flips a head with probability 1/6 and the red coin flips a head with probability 1/9.

If both coins flip heads, you go north 2 blocks.

If blue is heads and red is tails, you go north 1 block.

If blue is tails and red is heads, you go east 1 block.

If both coins flip tails, you go east 3 blocks.

What is your expected location after 209 flip? What is the standard deviation for going north in exactly 1 flip of both coins?

Assume coin flips are independent for each coin and that both coins are independent. You must use random variables.