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题目内容
A box contains 10 red balls and 6 blue balls. A volunteer takes two balls one by one without replacement. What is the probability that the two balls are both red?
Give your answer as a fraction.
A bag contains 6 blue marbles and 10 red marbles. Two marbles will be selected at random from the bag, one at a time and without replacement. What is the probability that one of the selected marbles will be blue and one of the selected marbles will be red?
Give your answer as a fraction.
Of the 7 balls in an urn, exactly one is red. Balls are to be selected from the urn one at a time, randomly and without replacement, until the red ball is selected. After the red ball is selected, no more balls will be selected.

Quantity A

The probability that a total of 3 balls will be selected

Quantity B

The probability that a total of 4 balls will be selected
Each of 10 balls has an integer 0 to 9, inclusive, painted on the side. Shane randomly pick on each time without replacement.

Quantity A

The probability that 5 is picked at the first time

Quantity B

The probability that 5 is picked not until the second time
In a box, there are 1 red ball, 4 purple balls and 95 green balls. Someone randomly selects 2 balls from the box without replacement

Quantity A

The probability that one of the two balls is red

Quantity B

The probability that both balls are purple
When an even integer k is rounded to the nearest 10, the result is 530. What is the greatest possible value of k?
If the value of a double-digit number is twice the sum of its tens digit and units digit, then double-digit number must be?
n is a positive integer, x = 7n + 2, and y = 6n + 3

Quantity A

The ones digit of x+y

Quantity B

5
$$x*$$ is defined as the 3-digit integer formed by reversing the digits of integer $$x$$; for instance, $$258*$$ is equal to $$852$$. $$R$$ is a 3-digit integer such that its units digit is $$2$$ greater than its hundreds digit.

Quantity A

$$R*-R$$

Quantity B

$$200$$
M and N are both positive integers

3M+4N=13

Quantity A

N

Quantity B

2
Each of the offices on the second floor of a certain building has a floor area of either 250 or 300 square feet. The total space of these offices is 5,750 square feet.

Quantity A

The number of these offices with floor areas of 250 square feet

Quantity B

The number of these offices with floor areas of 300 square feet


Rodrigo's locker number has 3 different digits, the sum of which is 12. The sum of any two digits in the number is less than 10, and the digits are in decreasing order from left to right. What is Rodrigo's locker number?
The 20 people at a party are divided into n mutually exclusive groups in such a way that the number of people in any group does not exceed the number in any other group by more than 1.

Quantity A

The value of n if at least one of the groups consists of 3 people

Quantity B

6
x and m are positive integers, x is odd, and $$x·2^{m}$$=160

Quantity A

x

Quantity B

m
The mean of four different integers is 32, while the least of them is 27. The largest possible integer among the list is?
In a list of ten positive integers, the same number could appear at most twice. If the sum of them is 101, then what is the greatest possible number in the list?
If N is an integer and 99 < $$N^{2}$$ < 200, then N could have at most how many values?
$$x^{2}y \gt 0$$, $$xy^{2}$$ \lt 0$$

Quantity A

$$x$$

Quantity B

$$y$$
If $$-1 \lt y \lt 0$$, which of the following must be true?
If a < b < 0, which of the following numbers must be positive?

Indicate all such numbers.

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