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List outcomes, compare equal and unequal chances and use recorded frequencies to estimate likelihoods.
Free examples and worked answers. No account needed.
Practise the method.
List outcomes, compare equal and unequal chances and use recorded frequencies to estimate likelihoods.
List outcomes, compare equal and unequal chances and use recorded frequencies to estimate likelihoods.
Example 1
A fair 8−sided die is labelled 1 to 8, once each. What fraction of its equally likely outcomes show 2?
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Answer: 81
- There are 8 equally likely numbered outcomes.
- Only one is 2, so the fraction is 81.
Example 2
A fair coin gave 24 heads in 40 trials. Which statement is justified?
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Answer: Fair coins can give unequal counts in a finite set of trials.
- Each toss is uncertain; equal likelihood does not force equal recorded counts.
- The results describe these 40 trials and do not determine the next toss.
Example 3
A fair coin gave 21 heads in 40 trials. Which statement is justified?
Show worked answer
Answer: Fair coins can give unequal counts in a finite set of trials.
- Each toss is uncertain; equal likelihood does not force equal recorded counts.
- The results describe these 40 trials and do not determine the next toss.
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