Parth X Webok for UK MA320 xWeBWork: MA320-Zhoux CSecure https//webwork.as.uky.e

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Parth X Webok for UK MA320 xWeBWork: MA320-Zhoux CSecure https//webwork.as.uky.edu/webwork2/MA320-Zhou-S18/Homework9/7/?user-pma244&effectiveUser-pma244;&key; STE6RpEcq06215bRZJPN8J2gHt3Cx. . Apps D Carivas UKY Amazon.com: Orlin WeBWorK RDMAA Logged in as pma244 Log Out MATHEMATICAL ASSOCIATION OF AMERICA Kwebwork ma320-zhou-s18/ homework9 7 MAIN MENU Courses Homework Sets Homework9: Problem 7 Problem 7 User Settings Previous Problem Problem List Next Problem Grades (1 point) A deck of cards has 3 cards of suit A, 5 cards of suit B 8 cards of suit C A hand is a subset of 4 cards (a) How many hands are there? Problems Problem1 Problem 2 Problem 3 Problem4 Problem 5 Problem 6 Problem 7 (b) What is the probability of getting a hand with: 1 card of suit A. l card of suit B. and 2 cards of suit C? Please round to at least 6 decimal places. Note: You can eam partial credit on this problem.

Explanation / Answer

Total cards = 3 + 5 + 8 = 16

a) Number of hands possible = 16C4 = 16! / (4! * (16 - 4)!) = 1820

b) P(1 card of suit A, 1 card of suit B, 2 card of suit C) = 3C1 * 5C1 * 8C2 / 16C2 = 3 * 5 * 28 / 1820 = 0.230769

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