![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
(a)
\125 numbers are three digit numbers are possible.
\When ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4a1eff501bcaffab46d1011292babfbd.png\")
since there are 5 possibilities for each digit.
![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
(b)
\Sample answer:
\Using 5 cards numberd 0, 1, 2, 3, and 4, randomly choose a card to determine each digit of the winning number.
\ Use a random number generator with integer values 0-4 three times to generate a lottery ticket number.repeat until the lottery number matches the winning number.![\"\"](\"/userfiles/image/steps_images/step3.JPG\")
(c)
The experimental probability of winning is , see students work.![\"\"](\"/userfiles/image/steps_images/step4.JPG\")
(d)
\The theoretical probability of winning is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d2b7c4c8bd95a57bd5f5309aa22ed466.png\")
or about 0.0008.