### Home > MC2 > Chapter 11 > Lesson 11.2.3 > Problem11-51

11-51.

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 $10$)?

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

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(~$100$)?

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

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

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

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

$\frac{38}{50}$

4. P(one-digit number)?

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

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