Two independent plays
Interactive diagram
Explore the labelled diagram, charts and maps for this topic in full study mode.
| Score | |
|---|---|
| 0 | 0.2 |
| 1 | 0.5 |
| 2 | 0.3 |
Remember both orders: 0 then 2 and 2 then 0 are different possibilities.
Count 1 then 1 only once.
Free preview
This is the free notes preview
You're reading the free notes. Aimnova Pro unlocks the full study experience — and you can try it with your first topic free to keep:
- FlashcardsLock in vocabulary and key terms with spaced repetition.
- Practice questionsAnswer exam-style questions and get instant AI marking.
- Mock exams & past-paper vaultSit full mocks and see exactly how examiners award marks.
- Personalised study planA daily plan built around your exam date and weak areas.
Expected number of results
Expected losses
The probability of a loss is 0.25. A game is played 60 times. Find the expected number of losses.
Step by step
- Multiply the number of games by the probability of a loss.
Final answer
15 losses are expected; exactly 15 losses are not guaranteed.
| Asked for… | Use… |
|---|---|
| Average score or gain | |
| Number of wins or losses |
Feeling unprepared for exams?
Get a clear study plan, practice with real questions, and know exactly where you stand before exam day. No more guessing.
Exam-style question
Try it, then check
Each play pays €0 or €4, each with probability 1/2. Find the chance of €4 total in two independent plays. In 40 plays, how many zero prizes are expected? [4]
Step by step
- Two ways: 0 then 4, or 4 then 0.
- Expected count = plays × chance.
Final answer
Chance of €4 total = 1/2. Expected zero prizes = 20.