Past Paper Example 1
GCSE Nov 2023 2H Q21
4 marks
Vicky has a collection of medals.
The Venn diagram gives information about the number of medals in her collection where
[INDENT]\mathscr{E} = {all medals}
[INDENT]A = {English medals}
[INDENT]B = {gold medals}
The Venn diagram gives information about the number of medals in her collection where
[INDENT]\mathscr{E} = {all medals}
[INDENT]A = {English medals}
[INDENT]B = {gold medals}
Vicky is going to take at random a medal from her collection.
Given that the medal is gold, the probability that the medal is English is 211
Work out the number of medals in Vicky’s collection.
Given that the medal is gold, the probability that the medal is English is 211
Work out the number of medals in Vicky’s collection.
Worked Solution & Mark Scheme (4 marks)
Total gold medals n(B) = x + (5x – 3) = 6x – 3. P(A | B) = x / (6x – 3) = 2/11 M2
⇒ 11x = 12x – 6 M1
⇒ x = 6. Total medals = (7(6) – 11) + 6 + (5(6) – 3) + 34 = 31 + 6 + 27 + 34 = 98. A1
⇒ 11x = 12x – 6 M1
⇒ x = 6. Total medals = (7(6) – 11) + 6 + (5(6) – 3) + 34 = 31 + 6 + 27 + 34 = 98. A1
Answer: 98