Nicole has a random number generator that will produce the numbers from $1$ through $50$ when she pushes a button. If she pushes the button, what is:

1. P(multiple of $10$)?

   Hint (a):

   Multiples of $10$ are: $10$, $20$, $30$, $40$, and $50$.

   Help (a):

   Since there are $50$ possible outcomes and only $5$ of those
   outcomes are multiples of ten, what is the probability of
   getting a multiple of $10$?

2. P(~$100$)?

   Hint (b):

   The random number generator only produces numbers from
   $1$ through $50$. So what is the probability of not getting $100$?

3. P(~multiple of $4$)?

   Hint (c):

   Some multiples of $4$ are: $4$, $8$, $12$, $16$, $20$. Find the rest of
   the multiples of $4$ between $1$ and $50$.

   Help (c):

   There are $12$ multiples of $4$ between $1$ and $50$. So what is the
   probability of NOT getting any of these $12$ numbers?

   Answer (c):

   $\frac{38}{50}$

4. P(one-digit number)?

   Hint (d):

   How many one-digit numbers are between $1$ and $50$?

   Help (d):

   The only one-digit numbers are $1$ through $9$. So what is the
   probability of getting a one-digit number?