Handling Data 4
4 marks · NormalA regular 6-sided die is rolled. Find the probability that the number shown is:
(i) a prime number
(ii) a number greater than 3
Work out the probability that the number is a prime number or greater than 3.
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(a) (i) 3/6 or 1/2; (ii) 3/6 or 1/2
(b) 5/6
Common mistakes: Double-counting for 'or' part; Incorrect listing of primes
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Marking points
M1 (a) · 1 mark · Lists correct primes (2,3,5) and numbers > 3 (4,5,6) on die.
A1 (a) · 1 mark · Correct probabilities for both: 3/6 for each (accept 1/2).
M2 (b) · 1 mark · Finds overlap and total distinct outcomes for union.
A2 (b) · 1 mark · Correct probability: 5/6 or 0.83.
Worked solution
Primes on die: 2,3,5 (so 3 outcomes).
Numbers >3: 4,5,6 (3 outcomes).
Overlap (prime >3): 5 only. Union: 2,3,4,5,6 (5 numbers).