Thanks for the compliment.
Assuming a six-deck game, where the dealer stands on soft 17, and the player plays basic strategy here are the rounded results based on a 100-million hand simulation.
Player Hand Probabilities
EventProbability Dealer has only blackjack1 in 22 Player doubles or splits1 in 7.7 2 cards1 in 2.3 3 cards1 in 3.8 4 cards1 in 10 5 cards1 in 50 6 cards1 in 400 7 cards1 in 4,600 8 cards1 in 79,000 9 cards1 in 2,200,000 10 cards1 in 100,000,000
Dealer Hand Probabilities
EventProbability Player has only blackjack1 in 22 2 cards1 in 3.0 3 cards1 in 2.4 4 cards1 in 6.1 5 cards1 in 31 6 cards1 in 270 7 cards1 in 3,700 8 cards1 in 79,000 9 cards1 in 2,200,000 10 cards1 in 100,000,000