A bag of peanuts in their shells contains 155 peanuts. 65 of the shells contain one peanut, 85 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 16 of them are cracked. Of the shells with two peanuts, 23 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag.

  1. What is the probability the shell is cracked?  
  2. What is the probability the shell is not cracked and it contains two peanuts?  
  3. What is the probability the shell is not cracked or it contains two peanuts?  
  4. What is the probability the shell is not cracked given that it contains two peanuts?  

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