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Mathematics, 04.03.2020 04:56 looloo273

A peculiar die has the following properties: on any roll the probability of rolling either a 2, a 1, or a 4 is 12, just as it is with an ordinary die. Moreover, the probability of rolling either a 4, a 6, or a 3 is again 12. However, the probability of rolling a 4 is 116, not 16 as one would expect of an ordinary fair die.

From what you know about this peculiar die, compute the following.

The probability of rolling anything but a 4

The probability of rolling neither a 2 nor a 1

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