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Four different objects 1,2,3,4 are distributed at random in four place
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06 Jul 2022, 03:14
06 Jul 2022, 03:14
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Question Stats:
42% (01:35) correct
57% (01:08) wrong based on 7 sessions
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Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is probability that none of the objects occupy the place corresponding to it's number?
A) 17/24
B) 3/8
C) 1/2
D) 5/8
E) 1/3
A) 17/24
B) 3/8
C) 1/2
D) 5/8
E) 1/3
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: Four different objects 1,2,3,4 are distributed at random in four place
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06 Jul 2022, 13:18
06 Jul 2022, 13:18
1
1 2 3 4
1 1,1 1,2 1,3 1,4
2 2,1 2,2 2,3 2,4
3 3,1 3,2 3,3 3,4
4 4,1 4,2 4,3 4,4
The total number of places that an object is placed to its rightful place = 4 (1,1 2,2...4,4)
Total number of places that the object are mis-placed=12
Total number of places that the balls can be placed=16
Probability that non of the object occupies its corresponding place = 12/16 =3/8
Hence ans is B
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1 1,1 1,2 1,3 1,4
2 2,1 2,2 2,3 2,4
3 3,1 3,2 3,3 3,4
4 4,1 4,2 4,3 4,4
The total number of places that an object is placed to its rightful place = 4 (1,1 2,2...4,4)
Total number of places that the object are mis-placed=12
Total number of places that the balls can be placed=16
Probability that non of the object occupies its corresponding place = 12/16 =3/8
Hence ans is B
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Re: Four different objects 1,2,3,4 are distributed at random in four place
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07 Jul 2022, 07:22
07 Jul 2022, 07:22
1
12/16 is 3/4 not 3/8
Posted from my mobile device
Posted from my mobile device
