Question: 1. (Conditional + Bayes – Tricky) A box contains 3 fair coins and 2 double-headed coins. A coin is chosen at random and tossed 4 times. All 4 tosses result in heads. What is the probability that the chosen coin is double-headed?

• Question: 1. (Conditional + Bayes – Tricky) A box contains 3 fair coins and 2 double-headed coins. A coin is chosen at random and tossed 4 times. All 4 tosses result in heads. What is the probability that the chosen coin is double-headed?

  1. (Conditional + Bayes – Tricky) A box contains 3 fair coins and 2 double-headed coins. A coin is chosen at random and tossed 4 times. All 4 tosses result in heads. What is the probability that the chosen coin is double-headed?
• There are 2 steps to solve this one.

  Solution

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  Step 1

  Given information

  • Total coins in the box

    • Fair coins