【GRE考满分题库检索】GRE 题目搜索_等价和填空_阅读和逻辑_数学真题

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If one letter is to be randomly selected from the 7 letters in the word JOHNSON and one letter is to be randomly selected from the 5 letters in the word JONES, what is the probability that the two selections will be the same letter? Give your answer as a fraction.
Set A: {71,73,79,83,87} Set B: {57,59,61,67} If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime?
20 boys and 40 girls are in Group A, while at least 7 boys, together with some girls are in Group B. To choose one person from each of the group, the probability that both are boys is no greater than $$\frac{1}{15}$$. Which of the following statements must be true? Indicate all such statements.
A and B are independent events, and the probability that both events occur is $$\frac{1}{2}$$. Which of the following could be the probability that event A occurs? Indicate all such probabilities.
Events A and B are independent. The probability that events A and B both occur is 0.6 Quantity A The probability that event A occurs Quantity B 0.3
A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?
In a probability experiment, G and H are independent events. The probability that G will occur is r, and the probability that H will occur is s, where both r and s are greater than 0. Quantity A The probability that either G will occur or H will occur, but not both Quantity B r+s-r*s
There are only identical number of red and green balls in a box. A person first randomly selects a ball from the box without replacement, and continues to select another ball. Which of the following probability is 1/2? Indicate all that are true.
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize? Give your answer as a fraction.
Two balls are to be randomly selected from a bag, one at a time and without replacement. The probability that the first ball selected will be red is $$\frac{5}{8}$$. If the first ball selected is not red, the probability that the second ball selected will be red is $$\frac{2}{3}$$. What is the probability that the first or the second ball selected will be red (that is, one red ball either in the first attempt, or in the second attempt, but not both)? Give your answer as a $$\underline{fraction}$$.
For a certain probability experiment, the probability that event A will occur is $$\frac{1}{2}$$ and the probability that event B will occur is $$\frac{1}{3}$$. Which of the following values could be the probability that the event A∪B (that is, the event A or B, or both) will occur? Indicate all such values.
The probability that Event A occurs is 0.63, while the probability that Event B occurs is 0.58. What is the greatest probability that Event A and B both occurs? Give your answer as a decimal.
The probability that Event A occurs is 0.7, The probability that Event B occurs is 0.4. Which of the following could be the probability that Event A and B both occurs? Indicate all such probabilities.
If password TUKK is re-arranged, what is the probability that the password is re-arranged into the exact same as before? Give your answer as a fraction.
k is an integer such that 33 ≤ k ≤ 35 Quantity A The number of positive factors of k, including 1 and k Quantity B 4
The units digit of $$7^{34}$$ is x, and the units digit of $$6^{34}$$ is y. What is the value of the product xy?
What is the tens digit of the number $$2007^{2007}$$?
Quantity A The remainder when ($$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123) is divided by 122 Quantity B 2
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product? _____hours
An escalator installed at a new shopping mall operates at a speed of 90 feet per minute. The handrail of the escalator operates on a separate motor at a speed of 93 feet per minute. A person steps onto the escalator and, at the same time, grabs the handrail. Assuming that the person's hand and shoes do not move on the escalator in how many seconds will the person's hand have moved 0.25 foot more than the person's shoes? _____seconds

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