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Mathematics (AS & A Level) · Oct / Nov 2019 · Paper 62 · Question 2

9709

As printed in the paper

The question as text

Benju cycles to work each morning and he has two possible routes. He chooses the hilly route with probability 0.4 and the busy route with probability 0.6. If he chooses the hilly route, the probability that he will be late for work is x and if he chooses the busy route the probability that he will be late for work is 2x. The probability that Benju is late for work on any day is 0.36.

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Show the answer and mark scheme
  • 2(i)[2]

  • 2(ii)[3]

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