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4 marksConditional Probability

CSEC Additional Mathematics · 2012 · Paper 2 · Question 7(c)(ii)b)

The probability of hiring a taxi from garage A, B, or C is 0.3, 0.5, and 0.2 respectively. The probability that the taxi ordered will be late from A is 0.07, from B is 0.1, and from C is 0.2.

A garage is chosen at random, determine the probability that the taxi will come from garage C given that it is late.

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Other parts of this question

  1. 7(a)Determine the proportion that own NEITHER a laptop NOR a desktop computer.[4 marks]
  2. 7(b)(i)Find the probability that the marbles drawn are ALL of the SAME colour.[3 marks]
  3. 7(b)(ii)Find the probability that the marbles drawn contain EXACTLY 1 red marble.[3 marks]
  4. 7(c)(i)Illustrate this information on a tree diagram showing the probability on all branches.[3 marks]
  5. 7(c)(ii)a)A garage is chosen at random, determine the probability that the taxi will arrive late.[3 marks]

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