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Mathematics

MA131 Finite Mathematics

Park University

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I am having trouble answering questions on my finite mathematics quiz. There are only 10 math problems on this quiz.

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1.A cooler at a picnic contains 100 cans of soda covered by ice. There are 45 cans of cola, 26 cans of orange soda, 19 cans of ginger ale, and 10 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the cooler, determine the probability that the soda selected is cola, ginger ale or orange soda. (Simplify your answer. Type a fraction.) 2. In a family with 3 children, excluding multiple births, what is the probability of having 3 girls? Assume that a girl is as likely as a boy at each birth. The probability of having 3 girls is (Type a fraction. Simplify your answer.) 3. A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P. P(J)= 0.27, P(G)= 0.17, P(P)= 0.31, P(S)= 0.25 The probability a random customer will choose brand J or P is (Type an integer or decimal rounded to two decimal places as needed.) 4. An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Assuming each simple event is as likely as any other, find the probability that the sum of the dots is 5? What is the probability of getting a sum of 5? (Simplify your answer. Type a fraction.) 5. An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head on both sides. Compute the probability of obtaining less than 2 heads. The probability of obtaining less than 2 heads is . (Type an integer or a simplified fraction.) 6. Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. P(Aunion∪B) P(Aunion∪B)equals= (Type a decimal.) 7. Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. P((Aintersect∩B)') P((Aintersect∩B)')equals= (Type a decimal.) 8. Use the table on the right to find the indicated probability. Events A, B, and C are mutually exclusive; so are D, E, and F. P(C) A B D 0.20 E 0.28 F 0.22 Totals 0.700.70 C 0.030.03 0.060.06 0.030.03 0.120.12 Totals 0.070.07 0.300.30 0.060.06 0.400.40 0.050.05 0.300.30 0.180.18 1.00 P(Upper CC)equals= (Type an integer or a decimal.) 9. Find P(C∩D) directly from the table. D E Totals A 0.11 0.39 0.50 B 0.03 0.27 0.30 C 0.06 0.14 0.20 Totals 0.20 0.80 1.00 P(C∩D)equals= (Type an integer or a decimal.) 10. Compute the probability P (D | C) using P(C∩D) P(D|C)= P(C) and the appropriate table values. A B C Totals D 0.200.20 0.350.35 0.100.10 0.650.65 E 0.200.20 0.050.05 0.100.10 0.350.35 Totals 0.400.40 0.400.40 0.200.20 1.001.00 P(D|C)equals= (Round to two decimal places.)
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SURNAME1
Finite Mathematics
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1.A cooler at a picnic contains 100 cans of soda covered by ice. There are 45 cans of cola, 26
cans of orange soda, 19 cans of ginger ale, and 10 cans of root beer. The cans are all the same
size and shape. If one can is selected at random from thecooler, determine the probability that the
soda selected is
cola, ginger ale or orange soda.
Solution:
P (cola) =45/100=9/20
P (ginger ale) =19/100
P (orange soda) =26/100=13/50
P (cola, ginger ale or orange soda)=P(cola)+P(ginger ale)+P(orange
soda)=9/20+19/100+13/50=9/10
2. In a family with 3 children, excluding multiplebirths, what is the probability of having 3 girls?
Assume that a girl is as likely as a boy at each birth.
Solution:
Since a girl is likely as a boy at each birth, the probability of a girl is ½ and that of a boy is ½.
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