Handling Data 4
1 mark · EasyA teacher says, "If I roll a fair six-sided die 60 times, I would expect each number to appear about 10 times." Explain why the teacher is correct.
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There are 6 possible numbers, so each has a probability of 1/6. 60 × 1/6 = 10 times.
Also accept: Each number has an expected frequency of 1/6 × 60 = 10.
Common mistakes: Saying exactly 10 without reason
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Marking points
B1 · 1 mark · Correct explanation involving probability and expected frequency calculation.
Worked solution
Probability of each number = 1/6, so expected frequency = 60 × 1/6 = 10.