Chapter 8.2, Problem 8.43E

To determine

To calculate the probability of picking all six winning numbers.

Answer to Problem 8.43E

  $0.000007\%$

Explanation of Solution

Since order is not important we need to use combination:

  $\begin{array}{l}C{}_6=\frac{49!}{(49-6)!6!}\\ =\frac{49!}{43!6!}\\ =13983816\end{array}$

The probability is then:

  $\begin{array}{l}\frac{1}{13983816}=0.00000007\\ =0.000007\%\end{array}$