A lottery

In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize.

What is the probability of winning the prize in the game?

(The order of the numbers is not important).

Correct answer:

p =  0.0024

Step-by-step explanation:

$$\begin{gathered} a=10^4=10000 \\ b=4\cdot 3\cdot 2\cdot 1=24 \\ p=\frac{b}{a}=\frac{24}{10000}=0.0024 \end{gathered}$$

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