Unlike craps and roulette, where each throw or spin is independent of the one before it, in blackjack the probabilities for the next card depend on the cards that have been dealt so far. Since the dealer never changes his strategy, the player can overcome the house advantage by carefully counting the cards that have been dealt and betting more when his odds of winning are better. (a) What is the probability that the first card dealt will be a face card (a jack, queen or king)? (b) At what points in the deal can the probability of a face card be the same as it was at the start? (c) What is the probability that the next card dealt will be a face card if the 12 cards dealt so far have been J829K6Q9A3K4?

Unlike craps and roulette, where each throw or spin is independent of the one before it, in blackjack the probabilities for the next card depend on the cards that have been dealt so far. Since the dealer never changes his strategy, the player can overcome the house advantage by carefully counting the cards that have been dealt and betting more when his odds of winning are better. (a) What is the probability that the first card dealt will be a face card (a jack, queen or king)? (b) At what points in the deal can the probability of a face card be the same as it was at the start? (c) What is the probability that the next card dealt will be a face card if the 12 cards dealt so far have been J829K6Q9A3K4?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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