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Data Analysis: Probability

Data Analysis: Probability. Brian Jenkins. BLACKJACK !.

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Data Analysis: Probability

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  1. Data Analysis: Probability Brian Jenkins

  2. BLACKJACK! Are the odds on your side? The game of blackjack is heavily based around odds, probability, and frequency. Blackjack is a game that is very numerically involved and gives us opportunities to examine how frequency and probability relate and can be a very fun way to see math in action. Lets take a look…

  3. Probability • Lets take a quick look at how we can find the probability of a single hand in a blackjack game….

  4. Hand 1 Experiment Result…. • Let’s say we are dealt the King of Spades, and the Ten of Hearts shown on the last slide. • We have two cards with values of 10. • 16/52 x 15/51 = 240/2552 or 0.09 About one out of ten hands • This is an example of DEPENDENT probability.

  5. Hand 2 I think not… Coincidence? This would be an example of INDEPENDENT probability because both events used separate variables. In Hand 1 we saw the pools shrink, these pools stayed the same. Lets say, for purposes, we get dealt a hand with the same value, but not necessarily the same cards… Now we take 240/2652 x 240/2652 = 57600/7033104 = 0.0082

  6. Compare… Hand 1 Hand 2 By multiplying the different probabilities of both out comes, we determine the probability = 0.09 By multiplying the probability hand 1 by itself, we see get the probability of back to back hands with two cards with the value of 10.

  7. Credits • King of Spades- Jim Veney, permission pending. • Blackjack image- Comptropolis.com, permission pending. • Calculations done by Brian Jenkins on Microsoft Excel.

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