Question

In the Ohio lottery Classic Lotto game 6 numbers are drawn at random from 49 possible numbers. What is the probability of your lottery ticket matching all six numbers? Hint: Order is not important.

Answer 1

The probability of the lottery ticket matching all six numbers is given by

$\begin{gathered} \frac{1}{49\text{ }}\text{ x }\frac{1}{48}\text{ x }\frac{1}{47}\text{ x }\frac{1}{46}\text{ x}\frac{1}{45}\text{ x }\frac{1}{44} \\ \end{gathered}$$\begin{gathered} =\frac{1}{1.006834752\text{ x }10^{10}\text{ }} \\ \end{gathered}$