Question

Use the counting principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0-9

Answer 1

10^8 possible ticket numbers
Chances of winning: 1/100,000,000

Answer 2

The probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0-9 is:

`(1)/(10^8)`

Explanation:

We know that there are total 10 numbers from 0-9

As all of the 8 numbers may repeat.

Hence, total number of ticket number possible are:10×10×10×10×10×10×10×10=10^8

Now the probability of choosing the 8 winning lottery numbers is given by:

`Probability=(1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)=(1)/(10^8)`

Hence, the answer is:

`(1)/(10^8)`