Solve both parts and justify the conditions used. Part A: A fair coin is tossed twice. List the event “exactly one head”. Part B: A model has p=1/4. In 20k independent trials, find the expected number of occurrences.
- Use the domain, units and sampling assumptions stated in the question.
- Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons
Working and explanation
BUILD THE REASONING
Hint 1
A: Describe the sample space and event sets, then count or apply a probability identity.
Hint 2
B: Distinguish observed relative frequency from a model probability and describe the experiment.
Worked solution
Part A reasoning
Describe the sample space and event sets, then count or apply a probability identity.
Calculate or simplify this relation.
An event is a set; its probability is a number.
Part B reasoning
Distinguish observed relative frequency from a model probability and describe the experiment.
Calculate or simplify this relation.
The actual integer count need not equal its expectation.
A: {HT,TH}. B: The requested value is 35.
Checks and common pitfalls: An event is a set; its probability is a number. The actual integer count need not equal its expectation.
Reasoning checklist · self / teacher assessment
- Solve part A with its stated restrictions.
- Solve part B using an appropriate representation.
- Give the reasoning and check conditions in both parts.
Think first. Reveal a hint when the class is ready.