Casino Presentation
Transcript: Ways to Win! Theoretical Probabilities 0 got pair & prime 0.0035 0.1110 0.0492 Prime (3, 5, 7, 11, 13, 17, 19, 23) 7 got straight & prime How to play! Pair & Prime Straight Pair Straight 4 got pair 60 (0.06) 0 Simulation $500 Nothing $10 Straight 0.0964 Comparison 1110 (0.111) $20 Pair 0.0369 12 got prime 118 (0.118) Straight & Prime Prime a deck of 26 cards 0.0370 = 5(40/325) + 10(36/325) + 15(16/325) + 20(12/325) + 500(1/325) = (200/325) + (360/325) + (240/325) + (240/325) + (500/325) Straight Pair & Prime Straight & Prime 0.1231 Double Ace 4 (0.004) 98 (0.098) Pair & Prime Expected Value Straight & Prime Theoretical 648 (0.648) Expected Winnings Experimental Pair draw 2 cards from the deck 0.0482 493 (0.0493) 0.1446 $5 Prime $15 0.1228 1228 (0.1228) Simulations Thank You! Expected Winnings Leo Su Prime Pair 52 got nothing 35 (0.0035) was played 83 times Straight & Prime 0.6265 0.1108 10000 cases 1000 cases = 4.62 72 (0.072) Experimental = 5 - 4.62 = 0.38 Pair & Prime (double ace) 0.6769 sum determines the prize Nothing 6764 (0.6764) 2 [1,1] 3 [1,2] [2,1] 5 [1,4] [4,1] [2,3] [3,2] 7 [1,6] [6,1] [2,5] [5,2] [3,4] [4,3] 11 [1,10] [10,1] [2,9] [9,2] [3,8] [8,3] [4,7] [7,4] [5,6] [6,5] 13 [1,12] [12,1] [2,11] [11,2] [3,10] [10,3] [4,9] [9,4] [5,8] [8,5] [6,7] [7,6] 17 [4,13] [13,4] [5,12] [12,5] [6,11] [11,6] [7,10] [10,7] [8,9] [9,8] 19 [6,13] [13,6] [7,12] [12,7] [8,11] [11,8] [9,10] [10,9] 23 [10,13] [13,10] [11,12] [12,11] 0.0843 0.0493 8 got straight $5 370 (0.037) 0.0031 0.6764