A player selects 7 numbers out of the first 80 positive integers. What is the probability a perons wins the grand prize by picking 7 numbers that are among the 11 numbers selected at random by a computer?
A player selects 7 numbers out of the first 80 positive integers. What is the probability a persons wins the grand prize by picking 7 numbers that are among the 11 numbers selected at random by a computer?
This amounts to asking “how many ways can my selection of seven integers from eighty matches the eleven chosen at random”.
$\displaystyle \frac{\displaystyle \binom{73}{4}}{\displaystyle\binom{80}{11}}$