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Grade 12 · Probability
Counting Principles & Probability (Grade 12)
MEMORANDUM
Name:
Class:
Date:
Mark
/ 16
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1How many 4-digit PINs can be formed if digits may repeat?(2)10⁴ = 10 000✓✓ (2)
- 2How many 4-digit PINs can be formed if no digit may repeat?(2)10 × 9 × 8 × 7 = 5 040✓✓ (2)
- 3In how many ways can 5 different books be arranged on a shelf?(2)5! = 120✓✓ (2)
- 44 boys and 3 girls sit in a row. In how many ways can they sit if the girls sit together?(2)5! × 3! = 120 × 6 = 720✓✓ (2)
- 5For those 7 learners, calculate the probability that the girls sit together.(2)7205 040 = 17✓✓ (2)
- 6How many arrangements are there of the letters of the word LETTER?(2)6!2!×2! = 180✓✓ (2)
- 7Write down the value of 0!(2)1✓✓ (2)
- 8Using the tree diagram below, calculate the probability that a person tests positive.(2)15×910 + 45×210 = 0,34✓✓ (2)
TOTAL: 16 marks