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Question: a peculiar die has the following properties on any roll...

Question details

A peculiar die has the following properties: on any roll the probability of rolling either a 4, a 6, or a 5 is 1/2, just as it is with an ordinary die. Moreover, the probability of rolling either a 5, a 3, or a 2 is again 1/2. However, the probability of rolling a 5 is 7/16, not 1/6 as one would expect of an ordinary fair die. From what you know about this peculiar die, compute the following.

  1. The probability of rolling either a 4, a 6, or a 1
  2. The probability of rolling a 1
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