题目列表

题目内容
There are five pairs of socks with different color each pair. When two socks are randomly selected, what's the probability that two socks of the same color are selected?
Give your answer as a fraction.
A jar contains only red marbles and black marbles. The jar contains more than one red marble and 5 times as many black balls marbles as red marbles. Five marbles are to be selected from the jar without replacement.

Quantity A

Of the marbles selected, the number that will be red

Quantity B

Of the marbles selected, the number that will be black


In a box of 40 blues balls and 20 red balls, someone randomly selects balls twice without replacement. What is the probability that both balls are blue?
Give your answer as a fraction.
Event A and event B are independent. the probability that event A occurs is 0.85 and B occurs is 0.9

Quantity A

The probability that neither A nor B occurs

Quantity B

0.25


The probability of event A is 0.5, the probability of event B is 0.3, what is the greatest probability that neither of the two events occur?
The probability that event A occurs is 0.6, and the probability that event B occurs is 0.8,which of the following could be the probability that both A and B occurs?
Indicate all such statements.
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
w, x, y and z are integers and 1 < w < x < y < z, w·x·y·z=210

Quantity A

w+z

Quantity B

10


Among positive integers from 1 to 19, inclusive, what is the ratio of the number of the multiples of 3 to the number of the multiples of 4?

Give your answer as a fraction.
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?

What is the number of integers that can be divisible by both 3 and 4 from 100 to 1,000, inclusive?
Which of the following set has the greatest number of integers from 1 to 100, inclusive?
A set consists of all three-digit positive integers with the following properties. Each integer is of the form JKL, where J, K, and L are digits; all the digits are nonzero; and the two-digit integers JK and KL are each divisible by 9. HOW many integers are in the set?
The number 24 has the property that it is divisible by its units digit, 4. How many of the integers between 10 and 70 are divisible by their respective units digits?
If x and y are positive integers and $$\frac{(8)(7)(6)(5)(4)(3)}{(2^{x})(3^{y})}$$is an integer, what is the greatest possible value of xy?
n is an integer greater than 1000

Quantity A

The remainder when n is divided by 3

Quantity B

The remainder when n is divided by 17


k is a positive integer greater than 1

Quantity A

The remainder when $$k^{2}$$-k is divided by 2

Quantity B

0




Quantity A

The remainder when $$10^{8}$$+$$10^{9}$$+$$10^{10}$$+$$10^{11}$$ is divided by 11

Quantity B

0


n is a positive integer, and $$n^{2}$$ is divisible by 7.

Quantity A

The remainder when n is divided by 7

Quantity B

1


Both m and n are positive integers.

Quantity A

The remainder when (m+n) is divided by 2

Quantity B

The remainder when ($$m^{n}$$ is divided by 2


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