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Homework 15: Problem 3 Previous (/webwork2/wardSTAT2231F201 0GeorgiaSouthern.edu

ID: 3327327 • Letter: H

Question

Homework 15: Problem 3 Previous (/webwork2/wardSTAT2231F201 0GeorgiaSouthern.edu&ke; Problem List (webwork2/wardSTAT2231F2 &k; Next (/webwork2/wardSTAT2231F2017 user-leonel kafando%40GeorgiaSouthern.eduseffectiveUsereleonel r r kafando%4 user-leonel r_kafando%40GeorgiaSoutherne user leonel r kafando9640GeorgiaSouthern edu&effectiveUsereleonel; r kafand0%40GeorgiaSouthern eduak (1 point) Two marbles are drawn randomly one after the other without replacement from a jar that contains 5 edu&effectiveUser; leonel r kafand0%40GeorgiaSouthem.edu red marbles, 6 white marbles, and 7 yellow marbles. Find the probability of the following events. (a) A red marble is drawn first followed by a white marble. The probability is: (b) A white marble is drawn first followed by a white marble. The probability is : (c) A yellow marble is not drawn at all. The probability is Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor Page generated at 10/06/2017 at 02:29pm EDT WeBWorK O 1996-2016 | theme: math4 | ww. version: 2.12lpg.version: 2.121 The WeBWorK Project (http:llwebwork.maa.org)

Explanation / Answer

Ans:

5 red,6 white,7 yellow marbles

total 18 marbles

a)probability that a red marble is drawn follwed by a white marble=(5/18)*(6/17)=5/51=0.098

b)probability that a white marble is drawn first follwed by a white marble=(6/18)*(5/17)=5/51=0.098

c)P(both red)+P(both white)+P(red follwed by white)+P(white follwed by red)=(5/18)*(4/17)+(6/18)*(5/17)+(5/18)*(6/17)+(6/17)*(5/18)

=0.0653+ (5/51)+(5/51)+(5/51)

=0.0653+0.2941

=0.3594

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