Discrete Probability

Practice problems for Discrete Probability

• At Least 4 Heads in 7 Coin Flips
• Expected Flips to Get Two Heads
• Expected Flips Until First Heads on Fair Coin
• Expected Value of Dice Rolls
• Probability All Three Coin Flips Match
• Probability of Even Heads in N Coin Flips
• Probability of Odd Number of Heads in Fair Coin Tosses
• Probability of Sum 10 with Three Dice
• Probability Two Dice Sum to Seven
• Coupon Collector Problem: Expected Die Rolls to See All Faces
• Creating Fair Coin from Biased Coin
• Die Roll with Optional Reroll
• Die Rolling Game: Maximize Sum Without Busting
• Evaluate Betting Strategy for HHH with Given Odds
• Exact Probability of 50 Heads in 100 Fair Coin Flips
• Expected Flips for Three Consecutive Heads
• Expected Maximum of Two Dice
• Expected Sum Given At Least One Six
• Expected Value vs Risk: Coin Flip Betting Games
• Expected Winnings in Dice Comparison Game
• HHT vs HTT Pattern Race
• Identify Copper Coins Box with Single Weighing
• Largest Amount Unattainable with 5¢ and 11¢ Stamps
• Odd Heads with Mixed Fair and Biased Coins
• Probability of Even Heads with N Fair Coins
• Probability of More Than 550 Heads in 1000 Coin Flips
• Probability of Strictly Increasing Die Sequence
• Probability Product of Two Dice is a Perfect Square
• Strategic Dice Betting with Information Asymmetry
• Dice Ratio Game: Choose Best Payout
• Expected Rolls for Two Consecutive Sixes
• Optimal Door Selection: Three Coin Tosses
• Winner's Curse Bidding Problem