4. A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers and rolling a 1 with the blue die is three times as likely as rolling each of the other five numbers. а. What is the probability of each outcome of the red die? b. What is the probability of each outcome of the blue die? C. What is the probability that the sum of the numbers on the two dice is less than 4?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4.
A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are
equally likely). Rolling a 1 with the red die is twice as likely as rolling each of the other five
numbers and rolling a 1 with the blue die is three times as likely as rolling each of the other
five numbers.
а.
What is the probability of each outcome of the red die?
b.
What is the probability of each outcome of the blue die?
C.
What is the probability that the sum of the numbers on the two dice is
less than 4?
Transcribed Image Text:4. A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers and rolling a 1 with the blue die is three times as likely as rolling each of the other five numbers. а. What is the probability of each outcome of the red die? b. What is the probability of each outcome of the blue die? C. What is the probability that the sum of the numbers on the two dice is less than 4?
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