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题目内容
How many different 5-digit numbers can be formed by one "1",two "2",and two "5"?
The 8 items A, B, C, D, E, F, G, and H are to be displayed on a straight line. In how many ways can the items be displayed if item B must be placed in any position that is to the right of item A,and item C must be placed in any position that is to the right of B?
Someone rearranges all the letters from the word "Mississippi"

Quantity A

The probability that all the same vowel letters are arranged together

Quantity B

The probability that all the same consonant letters are arranged together
There are 20 students in class with 10 girls and 10 boys. A teacher randomly selects some students and the first 6 students are all girls.

Quantity A

The probability that the 7th student is a girl

Quantity B

$$\frac{2}{7}$$
In a box of 10 electrical parts, 2 are defective. If someone selects 2 electrical parts randomly, what is the probability that neither of the parts will be defective?
Give your answer as a fraction.
How many positive divisors of 16 are multiples of 3?
The room number is between 200 and 999, inclusive. If the double room has the unit digit of 3，what's the ratio of the number of double room to all the room？
Give your answer as a fraction.
When randomly selecting 2 balls out of a box of 6 red balls and 10 blue balls, what is the probability that 1 red ball and 1 blue ball are selected at the same time? fraction.
If someone selects two numbers from 5,8,9,9,9 without replacement, what is the probability that the sum of the two numbers is multiple of 3?
Give your answer as afraction.
Select two numbers simultaneously from 1, 2, 3, 4, 5, what is the probability that the product of two numbers is odd?
Give your answer as a fraction.
4 out of 10 people are majored in mathematics. If you want to choose a team of 3 people out of these 10 people, what is the probability that there are at least 2 mathematics professionals in this team?
There are 12 bags of spice, which includes 5 different flavors. Among these, one bag`s flavor is C and 5 bags is of cherry flavor. What is the probability that one C flavor and one cherry flavor are drawn out when someone draw two bags of spice from the 12 bags?
Give your answer as a fraction.
4 out of 10 students have a certain feature. When selecting 3 out of these 10 students to form a committee, what is the probability that at least two selected students have such feature?
Give your answer as a fraction.
From Room Number 100 -799, inclusive, the units digit of a double room is 5 or 6, the tens digit of a double-room is 6 or 7, when a room is randomly selected, what's the probability that it is a double room?
Give your answer as a fraction.
There are 5 points on a number line, and two are on the left of 0, three are on the right of 0. If three numbers are chosen from those 5 points, what is the probability that all of them are positive integers?
Give your answer as a fraction.
Two numbers are to be selected at random and without replacement from the set {1，3，5，7，9，11}. What is the probability that the product of the two selected numbers will be greater than 50?
Give your answer as a fraction.
If someone selects one letter from JOHNONS and one letter from JONES，what is the probability that the two letters selected are the same？
Give your answer as a fraction.
Three typists work for four companies,each company has one document,what is the probability that three typists all receive documents?
If Event X happens, it has five possible outcomes (A, B, C, D and E) in total. The probability that outcome A, B and D respectively occurs is listed as follows. If the probability that outcome C occurs is twice the probability that outcome E occurs, then what is the probability that outcome C occurs?

Give your answer as a fraction.
When X and Y competes with each other (no ties), the probability that X wins is twice the probability that Y wins. What is the probability that Y wins for three consecutive times?
Give your answer as a fraction.

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