Just to start off, I want you to read my answer and explanation, and to make sure you do that, I will be solving a **SIMILAR** question, but not exactly. Here is the question I will be solving:

The following cards are dealt to **FOUR** people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?

[There are **FOUR** red cards and **FOUR** blue cards]

To start off, if we are going to calculate probability, that means that there is going to be a fraction in the form of:

**successes/total**

Let's find the total first. To start, we have 8 cards for the first person, 7 cards for the second, 6 cards for the third and 5 for the fourth, multiplying gives us:

8*7*6*5 **total **possibilities (we aren't going to calculate this just yet)

Then, we need to find the probability that everyone gets a red card. There are only 4 cards, and we can put them respectively to each of them 4! different ways (4 * 3 * 2 * 1). Therefore the probability is:

4!/(8*7*6*5)

This simplifies to:

3/(7*6*5)

This simplifies to:

1/(7*2*5)

Which is

1/70

**Note**: This is not the answer to your question, but the answer to a similar question. I advise you to read this explanation, and if you find any errors, please tell me (as counting isn't my strong subject, there might be something wrong).