Changing the selection pool

Changing the selection pool

Secondary 3
4 marks
TGM Original Questions

The universal set is 50 volunteers. Set A contains those trained in first aid and B those trained in food handling. The region counts are A only 16, both 12, B only 14, and neither 8.

  1. One volunteer is chosen uniformly from all 50. Find the probability that the volunteer is trained in first aid.[1]
  2. Instead, one volunteer is chosen uniformly from those trained in food handling. Find the probability that this volunteer is also trained in first aid.[2]
  3. Explain why the denominators in your two calculations are different.[1]

Solution:

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Answer:(a) \(\dfrac{14}{25}\) (b) \(\dfrac6{13}\) (c) The pools contain 50 and 26 volunteers.

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