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题目内容
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?
If one number is chosen at random from the first 1,000 positive integers, what is the probability that the number chosen is a multiple of both 2 and 8?
What is the probability of selecting two socks of the same color when selecting two socks out of 5 pairs of different colors of socks (each pair of socks have the same color)?
Give your answer as a fraction.
A box contains 6 cards, numbered 1, 2, 3, 4, 5, and 6, respectively. If one of the 6 cards is to be selected at random, what is the probability that the number on the card selected will be greater than 3, or even, or both?
Give your answer as a fraction.
If all the digits of a three-digit integer are divisible by 3, then what is the probability that the tens digit of the integer is an odd number while the hundreds digit is an even number?
Give your answer as a fraction.
In a group of 10 employees, 4 are good at computer. If 3 employees are randomly selected from the group, what is the probability that at least 2 employees selected are good at computer?
Give your answer as a fraction.
Set={2, 3, 5, 6, 9, 10}
When selecting two different numbers from the set, what is the probability that the product of the two selected numbers is less than 50?
Give your answer as a fraction.
What is the probability that the tens digit of the selected number is even when randomly selecting a number from all the two-digit odd integers?
Give your answer as a fraction.
What is the probability that the number is more than 3,000 when forming four-digit integers out of 1, 2, 3 and 4 (no repeated number can be used)?
Give your answer as a fraction.
If two numbers are randomly selected from positive integers from 1 to 10 such that no number is selected twice, what is the probability that the difference of the two selected numbers is 1?
Give your answer as a fraction.
A certain band will perform 15 different songs in random order, and no song will be performed twice. If 9 of the songs are new, what is the probability that the first 2 songs that the band performs will both be new?

Give your answer as a fraction.
Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective?
Give your answer as a fraction.
There are 10 pens in a box, and 2 of the pens are defective. If 2 pens are to be selected at random from the box without replacement, what is the probability that neither will be defective?
Give your answer as a fraction.
What is the probability that someone randomly selects a number from 100 to 159 inclusive such that the tens digit of the selected number is no more than 3 and the units digit of the selected number is no more than 4?
Give your answer as a fraction.
Two companies, $$C_1$$, and $$C_2$$, are participating in a fund-raising activity along with 8 other companies. Of the 10 companies, a group of 4 companies will be chosen to receive an award. Of all the possible choices of groups of 4 companies that will receive an award, how many choices include both companies $$C_1$$ and $$C_2$$?
From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?
Give your answer as a fraction.

Several 0 and 1 are arranged in a 10*10 palace as follows. Among all the number 0, what is the probability that they are arranged in both an odd row and an odd column?
Give your answer as a fraction.
In a bag, only red and blue balls (at least 2 balls for each color) are included.

Quantity A

The probability that red ball is selected when you add a blue ball to the box

Quantity B

The probability that red ball is selected when you remove a red ball to the box
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.

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