a.  A bag contains 4 green marbles, 6 white marbles, and 10red marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a green marble, and then a red marble?   b.  A bag contains 6 blue marbles, 10 red marbles, and 4 white marbles. If two different marbles are drawn from the bag, what is the probability of drawing first a blue marble and then a white marble?

Q: In a class of 26 students, 8 have a brother and 6 have a sister. There are 2 students who have a…

A: Given:-

Q: A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 2. A bag of marbles contains 6 red marbles and 7 blue marbles. You take 4 marbles out of the bag,…

A: Given,no.of red marbles=6no.of blue marbles=7Total no.of marbles=13

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: Mark has pairs of pants in three different colors, blue, black, and brown. He has 5 colored shirts:…

A:

Q: Suppose we have two hats: one has 4 red balls and 6 green balls; the other has 6 red and 4 green. We…

A: Probability of getting a head =1/2 Probability of getting a tail =1/2

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

A:

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A:

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: A bag contains 10 red marbles, 6 blue marbles, and 4 green marbles. If three marbles are drawn…

A: 10 red marbles 6 blue marbles 4 green marbles ____________________ 20 total marbles   select 3…

Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: A bag contains 77 greengreen marbles, 1010 blackblack marbles, and 55 whitewhite marbles. If two…

A: Given: 7 green marbles 10 black marbles 5 white marbles

Q: A bag contains 7 green marbles, 3 white marbles, and 6 red marbles. A marble is removed and then…

A: From the provided information, A bag contains 7 green marbles, 3 white marbles and 6 red marbles.…

Q: Suppose we deal three cards from a regular deck of cards without replacement. What is the…

A: In a regular deck of card , we have 52 number of card , where number of Ace card is 4, number of…

Q: Suppose members of three families (say, A, B and C) are to be randomly arranged in a row. Family A…

A: Given information: The total number of families = 3 named as A, B, and C. Family A consists of 5…

Q: The first box contains 3 black and 6 white cards. The second box contains 4 black and 3 white cards.…

A: It is given that there are 3 black and 6 white cards in box 1 and 4 black and 3 white cards in box…

Q: A bag contains 9 green marbles, 3 white marbles, and 4 red marbles. A marble is removed and then…

A: Solution: From the given information, a bag contains 9 green marbles, 3 white marbles and 4 red…

Q: A veterinarian has 4 dogs, 3 cats, and 2 gerbils. Two animals are selected at random. Find the…

A:

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: Given A jar contains 6 blue, 3 green and 2 red marbles.

Q: m a standard 52 de

A: To find: The probability of getting a black card or a Jack

Q: In a large bag of marbles, there are 20 red, 15 blue, and 10 green marbles. If three marbles are…

A: From the provided information, In a large bag of marbles, there are 20 red, 15 blue, and 10 green…

Q: I have 1 grey female, 5 grey male, 2 white female, and 2 white male mice. A biologist chooses 2…

A: From the given information, there are 1 grey female, 5 grey male, 2 white female and 2 white male…

Q: A bag contains 8 red marbles, 7 green marbles, 5 blue marbles, and 6 yellow marbles.  If you draw…

A:

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: • Watch help vince In a class of 30 students, 19 have a cat and 12 have a dog. There are 6 students…

A: Given information :  Total students = 30  Students having a cat  P(cat) = 19 /30 Students having a…

Q: Two urns contain colored blocks. The first contains three blue and two green blocks. The second…

A:

Q: A jellybean machine dispenses only one jellybean at a time. There are 6 red, 5 blue, 10 black, and 8…

A: Obtain the probability of getting two blue. The probability of getting two blue is obtained below as…

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

A:

Q: There are 20 red, 20 blue, and 10 yellow marbles in a bag. What is the probability of drawing two…

A: Given: Number of red marbles = 20 Number of blue marbles = 20 Number of yellow marbles = 10 Total…

Q: Imagine you have an bag containing 5 red, 3 blue, and 2 orange marbles in it. Answer the following…

A:

Q: ) A bridge hand is made up of 13 cards from a deck of 52. Find the probability of a hand with 6 of…

A: select 13 cards from 52 card deck.  P(six cards of one suit,4 of another suit and 3 of another suit)…

Q: You are to draw two cards without replacing the first one. What is the probability of having a king…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. A marble is removed and then…

A: Answer - A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. Total = 9 + 2 +4 = 15.…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.