Card Pack Expected Value Calculator
Calculate the expected value (EV) of opening a card pack. Enter card rarities, pull rates, and market values to find if a pack is worth buying.
Predict your future chess Elo rating based on games played and improvement rate. Project your rating over weeks and months of play.
Where will your chess rating be in 3 months? 6 months? A year? This predictor estimates your future Elo based on your current rating, games played per week, and average rating gain per game.
Chess improvement follows a logarithmic curve โ gains are fastest when you're newer and slow down as you approach your ceiling. This calculator uses a linear projection for short-term planning and notes the diminishing-returns reality for long-term estimates.
Track your actual progress against the projection to see if your training is working. If you're gaining faster than predicted, your training regimen is effective. If slower, it may be time to adjust your approach.
Use the estimate as a planning baseline and adjust it once you have real session data from the game you are playing.
Setting rating goals without understanding the math leads to frustration. If you're gaining 2 points per game on average and play 30 games per week, you'll gain about 60 points per week. This calculator makes growth tangible and goals realistic.
Projected Rating = Current + (gain_per_game ร games_per_week ร weeks)
Time to milestone = (milestone โ current) / (gain_per_game ร games_per_week)Result: Projected: 1560 (+360 in 12 weeks)
Gain per week: 1.5 ร 20 = 30 Elo/week. Over 12 weeks: 30 ร 12 = 360 points. Projected rating: 1200 + 360 = 1560. Time to reach 1400: (1400 โ 1200) / 30 = 6.7 weeks.
Chess improvement follows a step-function pattern rather than a smooth line. Players plateau for weeks, then break through to a new level after internalizing new concepts. The linear projection this calculator uses is an average of these steps.
The fastest way to improve your gain rate is combining play with study: tactical puzzles build pattern recognition, endgame study builds conversion skills, and opening preparation reduces early-game blunders. Analyze every loss.
Break long-term goals into monthly milestones. If you want to gain 400 points in a year, target 33 points per month. Track monthly rather than daily to smooth out variance and maintain motivation.
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For beginners (under 1000), 3-5 points per game is common. Intermediate players (1000-1500) see 1-3 points. Advanced players (1500-2000) gain 0.5-1 point per game. Above 2000, gains are much slower.
As your rating increases, opponents get stronger and the marginal knowledge required to improve grows. Early gains come from fixing basic blunders, but later improvement requires deep strategic and tactical understanding.
Quality matters more than quantity. Playing 10-20 analyzed games per week is more effective than 50 blitz games with no review. The ideal depends on your current level and how much study time you combine with play.
Yes, the math is the same, but online and over-the-board (OTB) ratings are calibrated differently. Online ratings tend to be inflated 200-400 points above FIDE OTB ratings depending on the platform.
A dedicated beginner can reach 1200-1400 in a year. An intermediate player (1200-1500) might gain 200-400 points with consistent study. Reaching 2000 from scratch typically takes 2-5 years of dedicated training.
Classical (longer time controls) teaches the best habits and deepest understanding. Rapid is a good balance of learning and volume. Blitz is best for experienced players practicing pattern recognition. Start with longer time controls.
Calculate the expected value (EV) of opening a card pack. Enter card rarities, pull rates, and market values to find if a pack is worth buying.
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