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Karanja's dog has rabies. If he is bitten by the dog, the probability of contracting rabies is 0.8. If he is not bitten, the probability of contracting rabies is 0.05. If Karanja is bitten by the dog,

Mathematics

ScanSolve AI Answer

Here's the breakdown of the problem using a tree diagram and probability calculations.

Part (a): Draw a tree diagram to show the events.

Let's define the events and their probabilities:

  • R: Karanja rides his bicycle to work.
  • R': Karanja does not ride his bicycle to work.
  • B: Karanja is bitten by a rabid dog.
  • B': Karanja is not bitten by a rabid dog.
  • T: Karanja gets treatment after being bitten.
  • T': Karanja does not get treatment after being bitten.
  • Rabies: Karanja gets rabies.
  • No Rabies: Karanja does not get rabies.

Given probabilities:

  • Total
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