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A peculiar die has the following properties: on any roll the probability of rolling either a...

A peculiar die has the following properties: on any roll the probability of rolling either a 4, a 5, or a 3 is 12, just as it is with an ordinary die. Moreover, the probability of rolling either a 3, a 2, or a 1 is again 12. However, the probability of rolling a 3 is 14, not 16 as one would expect of an ordinary fair die.

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

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

b. The probability of rolling neither a 2 nor a 1

Math   Statistics-And-Probability   
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