A lot contains 80 items without defects and 20 with defects. Two items are chosen at random without substitution.  What is the probability that both are defective?

There are 15 coins in a jar, 7 of them are gold and the others silver. 5 coins are randomly drawn. What is the probability that 2 of the coins drawn are gold and 3 are silver? Enter answer as a decimal rounded to TWO digits after the decimal point.

A class consisting of 4 graduate students and 12 undergraduate students is randomly divided into four groups of 4. What is the probability that each group includes a graduate student?

A stack of  9   red cards and   14   green cards is shuffled and placed on a table. The cards are distinguished from each other by a number that has been written on each one. What is the probability of randomly selecting   5   red and   5   green cards from this stack.

A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a special committee. What is the probability that more girls are on the committee than boys?

A box contains 74 brass washers, 86 steel washers and 40 aluminum washers. Three washers are drawn atrandom from the box without replacement. Determine the probability that all three are steel washers.

Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?

Two marbles are drawn from a bag that is 3 red, 4 purple, and 2 black. Find the probability that you picked Atleast one purple. You must draw the tree diagram.

A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random, what is the probability that the bead is BLUE or GREEN?

Six girls and five boys wish to join a ski trip. Four of them will be selected at random. What is the probability that there will be one girl and three boys?