There are 31 students on a bus. Of these students, 8 of them attend School A and the rest attend School B. This bus breaks down and another bus is sent to pick up the students, but this new bus can only hold 24 of the students. The bus driver randomly selects 24 of the students to board the new bus and get taken to their respective schools. Please use this information to answer the following questions. a. What is the probability that exactly 5 of the students who attend School A get selected to board the new bus that holds 24 students? Answer: Round to at least FOUR digits after the decimal if necessary. b. What is the probability that at least 5 of the students who attend School A get selected to board the new bus that holds 24 students? Answer: Round to at least FOUR digits after the decimal if necessary.

Tom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at random,what is the probability that all three cards are Ace?

Michael is to randomly pick between two jars that contain coins.  The first jar contains 2 pennies, 3 nickels, and 5 dimes. The second jar contains 7 pennies, 3 nickels, and 4 dimes. After a jar is selected, a coin is then picked from that jar. If the selected coin is a nickel, what is the probability that it came from the second jar?

There are 40 males and 60 females graduating. Of these, 10 males and 20 females plan to attend a certain university next year. What is the probability that a randomly selected student plans to attend the university.

In a biology class, there are 40 students, 18 of whom are female and 22 are male. If two students are randomly selected as lab partners, what is the probability that both students are of the same gender?

If there are 23 people in a room, and 5 of them are wearing blue shirts, what is the probability that a randomly selected person in the room is wearing a blue shirt?

A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?