Answer
$P(I~match~the~winning~sequence)=\frac{1}{10,000}=0.0001$
Work Step by Step
- The sample space: for each digit of the sequence there are 10 possibilities (repetition of digits is allowed).
Using the Multiplication Rule of Counting (see page 298):
There are $10\times10\times10\times10=10,000$ sequences.
- With a single ticket: $N(I~match~the~winning~sequence)=1$
Using the Classical Method (page 259):
$P(I~match~the~winning~sequence)=\frac{N(I~match~the~winning~sequence)}{N(S)}=\frac{1}{10,000}=0.0001$
