GRE考满分·题库

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题目列表

题目内容
Mark flips 2 dimes (10 cents each) and 1 nickel (5 cents) together for twice. What is the probability that the total value of coins on the heads is 15 cents?
Give your answer as a fraction.
Three coins-two 10-cent coins and one 5-cent coin--are to be flipped simultaneously. For each of the three coins, the probability that the coin will land heads up is $$\frac{1}{2}$$. What is the probability that the total value of the coins that will land heads up is 15 cents?
Give your answer as a decimal.


The numbers 5, 8, 9, 9 and 9 are written on five different cards, as shown. If two of the cards are to be selected randomly, without replacement, what is the probability that the sum of the numbers on the two cards will be a multiple of 3?
Give your answer as a fraction.
Eight points are equally spaced on a circle. If 4 of the 8 points are to be chosen at random, what is the probability that a quadrilateral having the 4 points chosen as vertices will be a square?
If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?
p is the probability that event E will occur, and s is the probability that event E will not occur.

Quantity A

p+s

Quantity B

ps
A, B, and C are events in a probability experiment such that 0 < P(A) < 1, B and C are independent, and P(A) = 2P(B) = 3P(C).

Quantity A

$$\frac{2}{3}$$ P(A)

Quantity B

P(B or C)
In a box of 5 red socks, 4 blue socks and 3 yellow socks, someone selects a sock first, puts it back and then selects another sock. What is the probability that he or she selects yellow socks for both time?
Give your answer as a fraction.
In box H, there are 5 red balls, 3 green balls and 2 yellow balls, while In box R, there are 3 red balls and 7 yellow balls. If someone selects one ball from each box, what is the probability that he or she selects at least one yellow ball?
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
A telephone system has $$n$$ telephone lines. For each of the $$n$$ lines, the event that the line will fail during a certain reliability test has probability 0.3, and these $$n$$ events are independent. If the probability that at least one of the n lines will not fail during the reliability test is greater than 0.99, what is the minimum value of $$n$$?
What is the probability of selecting different colors when selecting 2 balls out of a box of 10 red balls and 6 blue balls without replacement?
Give your answer as a fraction.
In a box of 10 balls, 4 are red while 6 are blue. What is the probability that all the 3 balls are red when randomly selecting 3 balls out of the box without replacement?
Give your answer as a fraction.
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.

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