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John decides to play coin with his friend. However, John knows that his friend has a...

John decides to play coin with his friend. However, John knows that his friend has a forged coin and 85% of the time the friend uses that forged coin. If a forged coin is used, the probability of getting tail will be 60% for a toss; If a fair coin is used instead, the probability of getting a tail will be 50%.

  • What is the probability that this time the friend is using a forged coin and gets a tail on the first toss?
  • What is the probability of getting a tail on the first toss?
  • If the first toss gives a tail, what is the probability that the friend is using a forged coin?
  • If the first toss gives a head, what is the probability that the friend is using a forged coin?
Math   Statistics-And-Probability   
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