Suppose you are going to form a committee of students and faculty. You have 12 total students and 24 total faculty to pick from. You want to have 7 total people on the committee. What is the probability that you select 2 students and 5 faculty, in that order? Enter your answer rounded to three decimals.

There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies, 12 nickels, 10 dimes, and 5 quarters. What is the probability of drawing 2 coins from the jar and getting exactly 20 cents?

Find the probability of getting 3 face cards (king, queen, or jack) when 3 cards are drawn from a deck without replacement. Enter your answer as a fraction. P(3 face cards) =

Suppose you are going to form a committee of students and faculty. You have 7 total students and 12 total faculty to pick from. You want to have 8 total people on the committee. What is the probability that you select 2 students and 6 faculty? Enter your answer rounded to two decimals. Show your work. Enter the work that you used to get your answer.

Andrew organised a technology career fair at his college. He did an excellent job recruiting 8 guest speakers, 6 of whom worked in business technology. If Andrew randomly assigns 4 speakers to speak during the afternoon session, what is the probability that all of them work in business technology? Write your answer as a decimal rounded to four decimal places.

There are 9 people in a group. They are picking straws to see who has to clean the house. If 1 more woman enters the group, the probability of a man picking the long straw will be 1/2.How many women were in the group originally?

A desk drawer contains: 4 pairs of scissors, 10 paperclips, 5 rubberbands, 6 pens, 8 pencils, and 2 highlighters. You take out two items at random 1. Find the probability of picking two paperclips 2. Find the probability you pick one paperclip and one rubber band  3. Find the probability you pick two rubber bands

A chest of pirate treasure has 8 fake coins, 6 plastic jewels, 5 painted stink bombs, and 2 priceless artifacts. If a person randomly selects one item from the chest, what is the probability that they select a priceless artifact? Write your answer as a decimal and round to three decimal places.

Determine the probability of having 2 girls and 3 boys in a 5-child family. State any assumptions you made.

In a company there are 11 executives : six women and five men . Four are selected to attend a management seminar . Find the probability that two women and two men are selected. Give your answer as a reduced fraction.