by BlastRoom
Computing the long-run average of a random variable, including for a game, a policy or an insurance bet.
#probability_and_statistics

40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
A clinic records vaccinations per hour: 0 with probability 0.15, 1 with probability 0.35, 2 with probability 0.30 and 3 with probability 0.20. Find the expected vaccinations per hour, to three decimal places.
A bike shop records late rental returns per day: 0 with probability 0.50, 1 with probability 0.30, 2 with probability 0.15 and 3 with probability 0.05. Find the expected late returns, to three decimal places.
A farm tracks kilograms of berries discarded per crate: 0 with probability 0.20, 2 with probability 0.50, 4 with probability 0.20 and 6 with probability 0.10. Find the expected kilograms discarded, to three decimal places.
A bus company records missed stops per route: 0 with probability 0.60, 1 with probability 0.25, 2 with probability 0.10 and 3 with probability 0.05. Find the expected missed stops, to three decimal places.
A cafe records unsold muffins each afternoon: 0 with probability 0.10, 3 with probability 0.30, 6 with probability 0.40 and 9 with probability 0.20. Find the expected unsold muffins, to three decimal places.
A printer box has defective cartridges distributed as 0 with probability 0.70, 1 with probability 0.20, 2 with probability 0.08 and 3 with probability 0.02. Find the expected defective cartridges, to three decimals.
A phone app records notifications per minute: 0 with probability 0.25, 1 with probability 0.25, 2 with probability 0.30 and 4 with probability 0.20. Find the expected notifications per minute, to three decimals.
A school records recycling bags filled per club meeting: 1 with probability 0.15, 2 with probability 0.45, 3 with probability 0.30 and 4 with probability 0.10. Find the expected bags, to three decimals.
A dentist records cancellations per morning: 0 with probability 0.40, 1 with probability 0.35, 2 with probability 0.15 and 3 with probability 0.10. Find the expected cancellations, to three decimals.
A vending machine refund in dollars is 0 with probability 0.65, 1 with probability 0.20, 2 with probability 0.10 and 5 with probability 0.05. Find the expected refund in dollars, to three decimals.
A clinic records extra wait time in minutes: 0 with probability 0.20, 5 with probability 0.30, 10 with probability 0.35 and 15 with probability 0.15. Find the expected extra wait time, to three decimals.
A team earns bonus points of 0 with probability 0.30, 2 with probability 0.40, 5 with probability 0.20 and 10 with probability 0.10. Find the expected bonus points, to three decimals.
A game costs $2 to play, pays $12 with probability 0.10, pays $4 with probability 0.25 and pays nothing otherwise. Find the expected net gain per play in dollars, to three decimals.
A raffle ticket costs $5, pays $50 with probability 0.04, pays $10 with probability 0.15 and pays nothing otherwise. Find the expected net gain per ticket in dollars, to three decimals.
A carnival spinner costs $1.50 to play, pays $5 with probability 0.20, pays $1 with probability 0.50 and pays nothing otherwise. Find the expected net gain per play in dollars, to three decimals.
A scratch card costs $3, pays $20 with probability 0.05, pays $5 with probability 0.20 and pays nothing otherwise. Find the expected net gain per card in dollars, to three decimals.
An arcade claw game costs $2.50, gives a $15 prize with probability 0.12, a $3 prize with probability 0.30 and no prize otherwise. Find the expected net gain per play, to three decimals.
A school fair wheel costs $4 to spin, pays $25 with probability 0.08, pays $6 with probability 0.25 and pays nothing otherwise. Find the expected net gain per spin in dollars, to three decimals.
An online quiz costs $1 to enter, pays $6 with probability 0.05, pays $2 with probability 0.30 and pays nothing otherwise. Find the expected net gain per entry in dollars, to three decimals.
A prize draw costs $10 to enter, pays $100 with probability 0.08, pays $20 with probability 0.20 and pays nothing otherwise. Find the expected net gain per entry in dollars, to three decimals.
A mini game costs $0.50, pays $2 with probability 0.30, pays $0.25 with probability 0.40 and pays nothing otherwise. Find the expected net gain per play in dollars, to three decimals.
An app contest costs $3.50, pays $30 with probability 0.05, pays $4 with probability 0.40 and pays nothing otherwise. Find the expected net gain per entry in dollars, to three decimals.
A darts game costs $6, pays $40 with probability 0.10, pays $5 with probability 0.30 and pays nothing otherwise. Find the expected net gain per play in dollars, to three decimals.
A basketball shot game costs $2, pays $8 with probability 0.25, pays $1 with probability 0.50 and pays nothing otherwise. Find the expected net gain per shot in dollars, to three decimals.
A food truck can park at A, earning $120 with probability 0.60 and losing $20 otherwise, or B, earning $90 with probability 0.75 and losing $10 otherwise. Which has the higher expected profit, and by how much?
A farmer can plant tomatoes, earning $800 with probability 0.50 and losing $200 otherwise, or peppers, earning $500 with probability 0.80 and losing $100 otherwise. Which has the higher expected profit, and by how much?
A cafeteria can make extra salads, gaining $60 with probability 0.70 and losing $30 otherwise, or wraps, gaining $45 with probability 0.85 and losing $15 otherwise. Which has the higher expected profit, and by how much?
A delivery company can choose north route, saving $40 with probability 0.55 and costing $10 otherwise, or south route, saving $25 with probability 0.80 and costing $5 otherwise. Which has the higher expected value?
A factory can inspect now, gaining $200 with probability 0.30 and losing $20 otherwise, or install a sensor, gaining $120 with probability 0.50 and losing $10 otherwise. Which has the higher expected value?
A club can run an email drive, gaining $300 with probability 0.40 and losing $50 otherwise, or a booth, gaining $180 with probability 0.70 and losing $20 otherwise. Which has the higher expected profit?
A clinic can send reminder texts, saving $12 with probability 0.90 and costing $1 otherwise, or make calls, saving $25 with probability 0.50 and costing $3 otherwise. Which has the higher expected value?
A theater can buy social media ads, gaining $1000 with probability 0.25 and losing $100 otherwise, or a local paper ad, gaining $400 with probability 0.60 and losing $50 otherwise. Which has the higher expected profit?
A shipping company computes the expected value of damaged parcels per truckload as 1.4. What does 1.4 mean in this context?
An insurer computes its expected net gain on a phone policy as $18.000 per policy. What does that expected value mean?
A basketball shot game has expected net gain -$0.350 for the player per play. What is the best interpretation?
A bus agency finds the expected lateness of a route is 2.6 minutes. What does this expected value say?
A manufacturer computes expected warranty cost as $42.000 per laptop sold. What should the company use this value for?
A farm plan has expected profit $125.000 per hectare for one season. What is the correct interpretation?
A blood drive models donors per hour and finds an expected value of 7.8 donors. What does 7.8 describe?
A commuter pass has expected saving $14.500 per month compared with single tickets. What does that expected saving mean?
Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
Binomial Probability
40 questions