(15 pt.) A red and a blue die are thrown. Both dice are loaded (that is,...

 

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(15 pt.) A red and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 2 with the red die is twice as likely as rolling each of the other five numbers and rolling a 4 with the blue die is twice as likely as rolling each of the other five numbers. a. (5 pt.) What is the probability of each outcome of the red die? b. (5 pt.) What is the probability of each outcome of the blue die? c. (5 pt.) What is the probability that the sum of the numbers on the two dice is 6? (15 pt.) A red and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 2 with the red die is twice as likely as rolling each of the other five numbers and rolling a 4 with the blue die is twice as likely as rolling each of the other five numbers. a. (5 pt.) What is the probability of each outcome of the red die? b. (5 pt.) What is the probability of each outcome of the blue die? c. (5 pt.) What is the probability that the sum of the numbers on the two dice is 6?

Answer rating: 100% (QA)

Part a Lets denote the outcomes of the red die as R1 R2 R3 R4 R5 and R6 where R1 represents rolling a 1 R2 represents rolling a 2 and so on According to the given information rolling a 2 with the red ... View the full answer