I am playing a game of cricket with 2 teams with cards
Team A and Team B
Wickets or OUT - max 5 per inning
Overs 5 per inning (30 balls- each over having 6 balls)
Total 2 innings 1 per team.
We have possible outcome score per ball is 0, 1, 2 , 3, 4, 6, OUT Which is 7 total cards, each card appears 10 times in deck. Per inning available cards 7*set of 10= 70 cards in deck
Note:If 5 OUT before 30 cards drawn inning stops for that inning at same score.
Ex
Ie..first 6 balls is 6, 6, 4, 4, 0 , OUT
We left with 64 cards 8 x 6s 8 x 4s 9 x 0s 9 x OUTs 10 x 1s 10 x 2s 10 x 3s
Game starts with picking 30 cards 1 by 1 without replacement or less if 5 wickets fall
How do I calculate probability that team scores exactly 79 runs.