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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.
Among Event A, Event B and Event C, Event B and Event C are mutually exclusive, 0 < P(A) < 1, P(A)=2P(B)=3P(C)

Quantity A

$$\frac{2}{3}$$

Quantity B

P(B or C)


The probability that event A occurs is p, and the probability that event A does not occurs is q. If p-q=0.2,what is the value of p?
Give your answer as a decimal.
Consider two cubes with faces numbered 1 to 6 each, what is the probability that the first roll will be an odd number and the second roll will be a 5?
Give your answer as afraction.
A fair coin is tossed several times. If the coin is getting a head for the first time. what is the probability of getting three heads on consecutive three tosses?
Give your answer as a fraction.
There five red socks, four blue socks and three yellow socks in the box. They are same except for color. Randomly take one from the box, and then put it back and randomly take another one. What is the probability that both socks are yellow?
There are 400 boys and 600 girls, 20% of boys and 23% of girls chose rock music. Now choose one boy and one girl, what is the probability that both of them like rock music?
Give your answer as a percent.
_____%
There are ten a and eight b, randomly select two letters without replacement, then what is the probability that the first letter is a and the second is b?
Give your answer to the nearest 0.01 of a percent.
____%
Event A and event B are independent event. If the probability that event A occurs is 0.85 and the probability that event B occurs is 0.4,what is the probability that only event A occurs?
Give your answer as a decimal.
There are 10 balls in a box, among which are 4 blue balls and 6 red balls. Randomly select three balls from them, what's the probability that all the three balls are blue?
Give your answer as a fraction.
There are 5 red balls, 3 blue balls and 2 yellow balls in the first box. These balls are the same except that they are different in color. There are 8 red balls and 2 yellow balls in the second box. Randomly select one ball from each box, what is the probability at least one of the two balls is yellow?
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.
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.

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