GRE Probability Questions

Hello sir, I’m looking for some question on Probability in GRE exam. Can any one here provide me some question on GRE probability?

[Shaleen]

In the GRE Probability module provides learning to all of the concepts, techniques and strategies needed to answer probability questions on the GRE.

In particular, the GRE Probability module covers the following topics:
Finding probabilities by counting
Complements
At least & at most questions
Or probabilities
And probabilities
Mutually exclusive events
Independent events

GRE Probability Questions:

Q. Practice Questions in Permutation Combination & Probability
There are 5 doors to a lecture room. In how many ways can a student enter the room through a door and leave the room by a different door?
10
9
20
625
1024

Q. In how many ways can 3 students be selected from a group of 12 students to represent a school in the inter school essay competition?
10
9
20
625
1024

Q. How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and last position respectively? (Note: The words thus formed need not be meaningful)
8!/2!
8! - 2!
6!
8! - 2 * 7!
6! * 2!

Q. Quantity A Quantity B

The probability that a word selected from the set of all rearrangements of the letters of the word "Math" results in "Math" The probability that a word selected from the set of all rearrangements of the letters of the word "Good" results in "Good"
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given

Q.In how many rearrangements of the letters of the word SCINTILLATING will no two 'I's appear together?
11C3 * 13!
10!/(2!*2!*2!)
11C3 * 3! * 10!
11C3*10!/(2!*2!*2!)
11!/(2!*2!*2!)

Q. How many squares are there in a chess board?
64
65
4096
1296
204

Q. What is the probability that two squares(smallest dimension) selected randomly from a chess board will have only one common corner?
7/288
7/144
7/126
7/72
2/63

Q. 8 directors, the vice chairman and the chairman are to be seated around a circular table. If the chairman should sit between a director and the vice chairman, in how many ways can they be seated?
9!
7! * 2
9! * 2
8! * 2
8!

Q. Ms Li works at an office where the work timing is from 9:00 AM to 6:00 PM. 25% of a year she goes late to office and 35% of a year she leaves early from office. If P is the probability that she works at office the entire day then
0.25 ≤ P ≤ 0.35
0.25 ≤ P ≤ 0.65
0.4 ≤ P ≤ 0.65
0.35 ≤ P ≤ 0.4
0.1 ≤ P ≤ 0.6


Q. For which of the following events will the number of outcomes exceed 50?
Indicate all such events.
The number of outcomes in which at least three heads appears in 6 consecutive tosses of a fair coin.
The number of outcomes in which the sum of the digits that appear on the facing side is odd when a fair die rolled thrice.
The number of outcomes in which the two cards drawn from a pack of well shuffled cards are both red and face cards.
The number of outcomes in which the vowels appear together when the letters of the word 'PRIORITY' are reordered.
The number of ways of posting 6 different letters in 2 different post boxes such that at least one letter is posted in each of the boxes.
The number of ways of selecting at least one Indian and at least one American for a debate from a group comprising 3 Indians and 4 Americans and no one else.