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12.03.2020 •
Mathematics
G An inspector has been informed that a certain gambling casino uses a ‘fixed’ deck of cards one-quarter of the time in its blackjack games. With a fair deck, the probability of the casino winning a particular hand of blackjack is 0.52, but with a fixed deck the probability of the casino winning a particular hand is 0.75. The inspector visits the casino and plays three games of blackjack (from the same deck which is reused for each game), and the inspector loses all three games. Find the conditional probability that the deck was fixed given that the inspector lost all three games. Give your answer as a decimal rounded to four places (i.e. X.)
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