List or describe the elements in the specified set. Four cases of credit card fraud are examined. The method of fraud is "stolen card" (S), "counterfeit card" (C), "mail order" (M), or "other" (0). (a) The sample space S The sample space S consists of all distinct orders of four methods of the types S, C, M, or O. The sample space S consists of all distinct orders of three methods of the types S, C, or M. The sample space S consists of all distinct orders of three methods of the types S, M, or O. The sample space S consists of all distinct orders of three methods of the types C, M, or O. The sample space S consists of all distinct orders of three methods of the types S, C, or O. (b) The event A that at least three cases are counterfeit card fraud A = {СССМ, ССCS, СССО, ССМС, CCSC, CCОC, СМСС, CSCC, COСС, МССС, SCCС, ОССС) А %3D {МMMC, МMMS, MMMO, ммсм, MMSM, Ммом, МСММ, MSMM, MOMM, СМмм, SMMM, оммм} A = {SSSM, SSSC, ssso, SSMS, SSCS, ssos, SMSS, SCSS, SOSS, MSSS, CSSS, ossS} A = {СССС, СССМ, СCCS, CССО, ССМС, СCSC, Cсос, СМСС, CSС, СОСС, МССС, SCCC, 0CСС} A = {SSSS, SSSM, SSSC, ssso, SSMS, SSCS, SoS, SMSS, SCSS, soss, MSSS, CSSS, ossS} (c) The event B that no more than one case is mail order fraud Event B consists of all outcomes in S for which there is more than one S. Event B consists of all outcomes in S for which there is no more than one S. Event B consists of all outcomes in S for which there is no more than one M. Event B consists of all outcomes in S for which there is no more than one C. Event B consists of all outcomes in S for which there is more than one M.

List or describe the elements in the specified set. Four cases of credit card fraud are examined. The method of fraud is "stolen card" (S), "counterfeit card" (C), "mail order" (M), or "other" (0). (a) The sample space S The sample space S consists of all distinct orders of four methods of the types S, C, M, or O. The sample space S consists of all distinct orders of three methods of the types S, C, or M. The sample space S consists of all distinct orders of three methods of the types S, M, or O. The sample space S consists of all distinct orders of three methods of the types C, M, or O. The sample space S consists of all distinct orders of three methods of the types S, C, or O. (b) The event A that at least three cases are counterfeit card fraud A = {СССМ, ССCS, СССО, ССМС, CCSC, CCОC, СМСС, CSCC, COСС, МССС, SCCС, ОССС) А %3D {МMMC, МMMS, MMMO, ммсм, MMSM, Ммом, МСММ, MSMM, MOMM, СМмм, SMMM, оммм} A = {SSSM, SSSC, ssso, SSMS, SSCS, ssos, SMSS, SCSS, SOSS, MSSS, CSSS, ossS} A = {СССС, СССМ, СCCS, CССО, ССМС, СCSC, Cсос, СМСС, CSС, СОСС, МССС, SCCC, 0CСС} A = {SSSS, SSSM, SSSC, ssso, SSMS, SSCS, SoS, SMSS, SCSS, soss, MSSS, CSSS, ossS} (c) The event B that no more than one case is mail order fraud Event B consists of all outcomes in S for which there is more than one S. Event B consists of all outcomes in S for which there is no more than one S. Event B consists of all outcomes in S for which there is no more than one M. Event B consists of all outcomes in S for which there is no more than one C. Event B consists of all outcomes in S for which there is more than one M.

Algebra and Trigonometry (MindTap Course List)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...

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List or describe the elements in the specified set.
Four cases of credit card fraud are examined. The method of fraud is "stolen card" (S), "counterfeit card" (C), "mail order" (M), or "other" (0).
(a) The sample space S
The sample space S consists of all distinct orders of four methods of the types S, C, M, or O.
The sample space S consists of all distinct orders of three methods of the types S, C, or M.
The sample space S consists of all distinct orders of three methods of the types S, M, or O.
The sample space S consists of all distinct orders of three methods of the types C, M, or O.
The sample space S consists of all distinct orders of three methods of the types S, C, or O.
(b) The event A that at least three cases are counterfeit card fraud
A =
{СССМ, ССCS, СССО, ССМС, CCSC, CCОC, СМСС, CSCC, COСС, МССС, SCCС, ОССС)
А %3D {МMMC, МMMS, MMMO, ммсм, MMSM, Ммом, МСММ, MSMM, MOMM, СМмм, SMMM, оммм}
A =
{SSSM, SSSC, ssso, SSMS, SSCS, ssos, SMSS, SCSS, SOSS, MSSS, CSSS, ossS}
A =
{СССС, СССМ, СCCS, CССО, ССМС, СCSC, Cсос, СМСС, CSС, СОСС, МССС, SCCC, 0CСС}
A =
{SSSS, SSSM, SSSC, ssso, SSMS, SSCS, SoS, SMSS, SCSS, soss, MSSS, CSSS, ossS}
(c) The event B that no more than one case is mail order fraud
Event B consists of all outcomes in S for which there is more than one S.
Event B consists of all outcomes in S for which there is no more than one S.
Event B consists of all outcomes in S for which there is no more than one M.
Event B consists of all outcomes in S for which there is no more than one C.
Event B consists of all outcomes in S for which there is more than one M.

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Let E and F be events in a sample space S. aThe probability of E and F occurring is P(EF)=______________. bIf the occurrence of E does not affect the probability of the occurrence F, then the events are called ____________. So in tossing a coin twice, the event E, getting heads on the first toss, and the event F, getting heads on the second toss, are ____________. cIf E and F are independent events, then the probability of E and F is P(EF)=________.
Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)= ______________. (b) If the occurrence of E does not affect the probability of the occurrence F then the event are called ______________. So in tossing a coin twice, the event E ‘getting heads on the first toss,’ and the event F, “getting heads on the second toss,” are _____________ . (c) If E and F are independent events, then the probability of E and F is P(EF)= _____________.

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