1 of 8 0-day streak

Repeated chance experiments and simulations

Question 1 of 8

Calculator allowed

Model: a bag contains the labelled tokens shown. Tokens are identical except for their labels; each individual token is equally likely after mixing

Label	Number of tokens
red	4
yellow	1

One trial selects one token, records its label, then replaces and remixes it. Success means recording yellow

These records were generated by seeded digital simulations of the stated model

Run 1: 20 completed trials

Recorded label	Observed frequency
red	16
yellow	4

6 marks

Use every frequency to compare the observed proportion with the model

Keep exact integers or simplified fractions for probabilities and distances; do not round

Required entry	Value
Total completed trials	?
Observed successes	?
Exact observed relative frequency	?
Exact model probability	?
Expected number of successes	?
Non-negative distance between observed proportion and model probability	?

Total completed trials Observed successes Exact observed relative frequency Exact model probability Expected number of successes Non-negative distance between observed proportion and model probability