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Probability

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Problem 1: a-c 1. Assume that you have three six-sided dice. One is yellow (Y), one is red (R) and one is white (W). a.What is the probability that, in rolling only the red dice, it will show the number 5? b.What is the probability that, in rolling only the white dice, it will show an even number? c.What is the probability that, in rolling all three dice at once, the outcome will be 2(Y), 4(R), 6 (W)?

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Problem 1: d-f 1. Assume that you have three six-sided dice. One is yellow (Y), one is red (R) and one is white (W). d. What is the probability that, in rolling all three dice at once, the outcome will be 1, 3 and 5 in any color combination? e. What is the probability that, in rolling all three dice at once, the outcome will be the same number on all three dice? f. What is the probability that, in rolling all three dice at once, the outcome will be a different number on all three dice?

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Problem 2 1. Skittles come in yellow, orange, purple and green. Assume that you have three jars of Skittles with the following color compositions: Jar 1100 yellow and 400 green Jar 2200 orange and 300 green Jar 3 50 purple and 450 green If you select one Skittle from each jar without looking, determine the probability of obtaining If you select one Skittle from each jar without looking, determine the probability of obtaining a. one yellow, one orange and one purple Skittle. b. one orange and two green Skittles. c. at least one green Skittle. d. two green Skittles and one alternate color Skittle. e. one orange, one purple and one green Skittle.

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Problem 3 1.A bent little finger is inherited with the autosomal dominant allele B. The autosomal recessive allele b codes for a straight little finger. Nan and her husband Nathan both have bent little fingers. Their first child, a son named Nicholas, has straight little fingers. a.What is the probability that Nan and Nathan’s second child will have bent little fingers? b.What is the probability that out of four children born to Nan and Nathan, 3 will have straight little fingers? c.What is the probability that Nan and Nathan’s second child will have straight little fingers, their third child will have bent little fingers and their fourth child will have bent little fingers? d. Out of three children born to Nan and Nathan, what is the probability that at least one will have bent little fingers?

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Problem 4 1.Cystic fibrosis is inherited with the autosomal recessive allele c. Individuals with the autosomal dominant allele C do not have the disease. Jessica does not have cystic fibrosis but she has a brother with the disease. Her husband Jerry also does not have cystic fibrosis but has a sister with the disease. a.What is the probability that Jessica carries the c allele? b.What is the probability that Jerry carries the c allele? c.What is the probability that Jessica and Jerry could have a child with cystic fibrosis? d.Out of 3 children born to Jessica and Jerry, what is the probability that 2 will have cystic fibrosis? e. For Jessica and Jerry, what is the probability that their first child would not have cystic fibrosis, their second child would have cystic fibrosis and their third child would not have the disease?

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Problem 5 1.Duchenne muscular dystrophy (DMD) is inherited with the X-linked recessive allele d. Individuals with the X-linked dominant allele D do not have the disease. Polly does not have DMD but she has a brother with the disease. Neither Polly’s father nor mother has DMD. Polly marries Peter, who also does not have DMD. a.What is the probability that Polly carries the d allele? b.What is the probability that Polly and Peter can have a child with DMD? c.For Polly and Peter, what is the probability that their first child would be a daughter without DMD, their second child would be a son without the disease and their third child would be a son with DMD? d.Out of 5 children born to Polly and Peter, what is the probability that 2 will have DMD?

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