An average promises no win
Training 2115 minutesexpected result
A practice box holds 10 equally likely tokens: 2 pay $10, the rest nothing. Each draw costs $3 and the token is replaced.
Training goal: Separate probability, average and actual outcome
▶ Play this trainingSituation
1. Round 1. Prize probability on one draw?
- 50%
- 10%
- 20%
2. Round 2. Expected payout before entry cost?
- $3
- $2
- $10
3. Round 3. Expected net result after the $3 fee?
- A $1 loss
- A $2 gain
- A $7 gain
4. Round 4. After three losses, what is the next prize chance? Tokens are replaced each time.
- Higher because a win is almost due
- Lower because luck has run out
- Still 20%
What you will learn
- An average promises no single outcome
- Deduct entry cost from expected payout
- Independent draws do not remember the past
Your real-life step
In a prize offer, identify probability, payout and full entry cost.
Questions and answers
Is one prize guaranteed in five draws?
No. An average frequency does not fix a short sequence’s outcome.
Does positive expectation remove risk?
No. Actual outcomes can differ and terms can be misunderstood.
Should past losses be chased?
No. Past spending does not improve the next attempt’s terms.
More trainings in this module
- A percentage round trip
- The last affordable bid
- A positive month, a cash-short Tuesday
- A fee on which amount?
- Can the reserve take another hit?
- Prices in different units
Numbers are illustrative. A game, not financial advice.