A state is chosen at random from the $50$ states. Find the probability that the state meets each of the following criteria:

1. It is on the east coast.

   Hint (a):

   There are 14 states on the east coast.

2. It has at least one representative in the House of Representatives.

   Hint (b):

   All states have at least one representative.

3. It has three U.S. senators.

   Hint (c):

   Every state has two senators.

4. It does not border an ocean or the Gulf of Mexico.

   Hint (d):

   $27$ states are inland.