A six-sided die is weighted so that the 4, 5, and 6 are twice as likely to come up as the 1, 2, and 3. All of the lower

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A six-sided die is weighted so that the 4, 5, and 6 are twice as
likely to come up as the 1, 2, and 3. All of the lower numbers (1,
2, 3) are equally likely to come up and all of the higher numbers
are equally likely to come up. Determine the probability of rolling
each of the possible numbers.