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A peculiar die has the following properties: on any roll the probability of rolling either a1, a2, or a3 is1/ 2 , just as it

A peculiar die has the following properties: on any roll the probability of rolling either a1, a2, or a3 is1/2, just as it is with an ordinary die. Moreover, the probability of rolling either a3, a5, or a6is again1/2. However, the probability of rolling a3is7/16, not1/6as one would expect of an ordinary fair die. From what you know about this peculiar die, compute the following.

  1. The probability of rolling anything but a3
  2. The probability of rolling anything but a4

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