Three numbers are to be selected at random and without replacement from the five numbers 4, 5,7,8, and 11.What is the probability that the three numbers selected could be the lengths of the sides of a triangle?

There are 5!. or 120. ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue，yellow，green, and orange，how many of those arrangements have either the red fag or the blue flag in the middle position?

k is randomly selected from the set of integers from 1 to 100, inclusive.​

REENA'S MOVIE COLLECTION The table above shows the number of movies in each genre in Reena's movie collection. If two different movies are to be selected at random from the collection. what is the probability that neither movie will be in the science fiction genre?

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.

There are 5!, or 120,ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue,yellow, green, and orange,how many of those arrangements have either the red flag or the blue flag in the middle position?

Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair.

A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color.

The cast of a certain play has 2 male characters and 2 female characters. The director of the play will select the 2 male characters from 6 male actors and the 2 female characters from 8 female actors. How many different sets of 4 actors, consisting of 2 male actors and 2 female actors, are there that can be selected by the director?

P is the set of all of all positive factors of 20, and Q is the set of all positive factors of 12. If a member of Pwill be chosen at random, what is the probability that the chosen member will also be member of Q .

Average Per-Pupil Expenditures for the I0 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L)

Average Per-Pupil Expenditures for the 10 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L)For the 1986-87 school year, the ratio of the average per-pupil expenditures or the Group L districts to the average for the Group H districts was closest to

Average Per-Pupil Expenditures for the I0 Percent of School Districts State X That Had the Highest Expenditures (Group H) Compared to the 10 Percent of School Districts That had the Lowest Expenditures (Group L) From the 1979-80 school year to the 1989-90 school year, the average per-pupil expenditures for the Group L school districts increased by approximately.

As a telephone salesperson, Kay made an average (arithmetic mean) of x sales calls per day for n consecutive days. On the next day, she made k sales calls. Which of the following represents the average number of sales calls per day for the n+1 days?

Set S consists of 8 positive imtegrs,3 of which are even, Set T consists of all numbers of the form x+x2 ,where x is member of set S.

Lists S and T each consist of 5 consecutive integers. The greatest integer in S is equal to the least integer in T.

List S : 1,2 ,3, k,2k If k< 2, which of the following numbers could be the median of the five numbers in list ? Indicate all such numbers.

In 1990 approximately what percent of the total population of neighborhood was foreign-born with Europe as region of origin?

A list of the names of the people of the entire 1990 foreign-born population in neighborhood was generated, with each person’s name appearing once. The names of 2 different people will be randomly selected from the list. Which of the following is closest to the probability that both names selected will be names of people whose region of origin was “Other”?