Jackpot Bonus number: remaining of number inside the 8 matching number.
Updated:
Per ticket is 8 numbers and no need to specify which is bonus number
Grand Prize: 8 matching number from 36 numbers
Probability: 1 in (36 choose 8)
2nd prize: 7 matching number from 36 numbers + (any 1 of 2 bonus numbers)
3rd prize: 7 matching numbers from 36 numbers
Probability: 1 in (36 choose 7)
4h prize: 6 matching number from 36 numbers + (any 1 of 2 bonus numbers)
What is the probability of winning 2nd prize and 4th prize respectively?
Best Answer
Divide number into $8$ winning, $2$ bonus, $26$ useless
Win $2nd$ prize = $\Large{\binom87\binom21\binom{26}0\over\binom{36}8}\approx1\; in\; 1,891, 271$
You should be able to work out $4th$ prize similarly as
$\Large{\binom86\binom21\binom{26}1\over\binom{36}8}$