Probability
Events and basic probability43 problems · 3 skills
Events, unions and complements 17Experimental probability 8🔒Spinners 18🔒
Dice105 problems · 7 skills
Comparing dice rolls 16Conditional probability with dice 17🔒Counting dice outcomes 9🔒Even and odd outcomes 17🔒Expected number of rolls 18🔒Products of dice 11🔒Sums of two dice 17🔒
Coins39 problems · 3 skills
Equal numbers of heads 8Expected tosses until a pattern 15🔒Heads and tails 16🔒
Cards86 problems · 6 skills
Aces 18Card arrangements 3🔒Conditional probability with cards 15🔒Drawing cards 17🔒Poker and bridge hands 16🔒Two-sided cards 17🔒
Drawing from bags87 problems · 5 skills
Colour ratios 18Marbles in bags 18🔒Number of balls from a probability 17🔒Several draws 17🔒Socks 17🔒
Probability by counting87 problems · 7 skills
Birthday problem 18Committees and selections 18🔒Letter draws 6🔒Lotteries 18🔒Objects into boxes 15🔒Random selection 4🔒Seating and parking 8🔒
Probability with numbers97 problems · 8 skills
Comparing sums 18🔒Divisibility 18🔒Even and odd draws 16🔒Logs and floors 10🔒Numbered cards 6🔒Parity and signs 5🔒Primes 9🔒Random digits 15🔒
Conditional probability and Bayes103 problems · 6 skills
Biased coins and Bayes 18🔒Boys and girls 15🔒Defective items 18🔒Genetics and populations 18🔒Medical tests 18🔒Urns and conditional probability 16🔒
Independent events38 problems · 4 skills
Hitting and missing 6🔒Independent events 13🔒Reliability of systems 8🔒Weather 11🔒
Binomial probability64 problems · 4 skills
Binomial trials 17🔒Guessing on tests 18🔒Repeated rolls 12🔒Repeated shots 17🔒
Expected value45 problems · 3 skills
Expected value of draws 11🔒Fair games and payoffs 17🔒Linearity of expectation 17🔒
Geometric probability69 problems · 6 skills
Areas and dartboards 17🔒Meeting and waiting times 16🔒Probability on grids 7🔒Random lengths and points 18🔒Random triangles 7🔒Rounding and continuous chance 4🔒
Random walks and Markov chains41 problems · 3 skills
Expected stopping times 13🔒Markov chains and Monty Hall 12🔒Random walks on shapes 16🔒
Random variables and distributions101 problems · 8 skills
Chebyshev's inequality 8🔒Continuous distributions 17🔒Expected value of a random variable 10🔒Linear transformations of random variables 9🔒Order statistics 16🔒Poisson distribution 16🔒Probability over intervals 12🔒Waiting and failure times 13🔒