There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different colors that are split equally, with 20 marbles for each color. Once a marble is removed from the bag, they are out of the pool. How many times do I need to take a marble from the bag, on average, will it take for me to get three marbles of the same color? (Can you show the steps to this?)

Q: At a dance, there are 20 girls and 20 boys. How many ways are there to form 20 pairs? How many if…

A: We have to use combinations to answer this problem.

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A:

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: Count the number of ways 5 bottles and 6 cups can be lined up in a row if a bottle​ (a cup) should…

A: According to the given condition, let 1 bottle and 1 cup is a pair. Then, 1 cup is left.

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

A:

Q: You are buying 10 t-shirts and there are 8 different colors to choose from. How many ways can you…

A: Probability A probability provides the possibility of occurring an event. For example, A school team…

Q: A class of 20 students is seated in a classroom with 5 rows of 4 seats each. How many ways are there…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: A teacher is creating a quiz.  There are 9 questions to choose from.  The teacher plans to select 3…

A:

Q: A manager has 4 people that can play any of positions. How many

A: In the given situation, there are 4 people that can play any of positions. That is, there are 4…

Q: Twenty children are to be divided into an X team and a Y team of 10 each. The X team will play in…

A:

Q: A child is allowed to pick a handful of 4 pieces of candy from a bowl of 8 different pieces of…

A: A child is allowed to pick a handful of 4 pieces of candy from a bowl of 8 different pieces of…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 16…

A:

Q: am has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…