A bag has the following colored marbles in it: 1 red, 4 white, and 7 blue marbles. Find the probability of each of the given events: a) If one marble is randomly selected, find the probability that it is not white. b) If one marble is randomly selected, find the probability that it is red, given that it is not blue. c) If two marbles are selected, one after the other, without replacing the first before selecting the second, find the probability that the first marble is red and the second marble is blue. d) If two marbles are selected, one after the other, without replacing the first before selecting the second, find the probability that neither marble is white.

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: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and…

A:

Q: There are 7 black and 5 green balls in a box. Three balls are drawn consecutively (each ball is…

A: Given There are 7 black and 5 green balls in a box. The total balls in a box is 7+5=12. To find the…

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: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

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

A:

Q: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

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: 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 two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

A:

Q: Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the…

A: We have to Find the probability that both the cards are black....

Q: Min draws a card from a well-shuffled standard deck of 52 playing cards. Then she puts the cards…

A: Given Data: n(S)=52 n( face cards)=12

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: There are 7 acts in a talent show. An acrobat, a comedian, a juggler, a pianist, a singer, a…

A: Given: total number of act (n)=7

Q: A committee has fourteen members. There are three members that currently serve as the​ board's…

A: It is given that that the committee of 14 members, three already serving as the board 's chairman,…

Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

A:

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: In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the…

A: number of orange ball in a box = 8 number of blue ball in a box = 7 number of red ball in a box = 6…

Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: For any two events A and B and P(B) + 1, find weather the following statement is true or not: 1- Р…

A: Introduction :-  We have to check whether given statement is true or false. Formulae :-

Q: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

A: Given data: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: A bag of jellybeans has 7 red, 12 black, and 14 blue. We select a jellybean, eat it (do not replace…

A:

Q: A bag contains 4 Yellow cards, 5 Green cards and 6 Blue cards. Select at random 3 cards at the same…

A: There are 4 yellow cards.The are 5 green cards.There are 6 blue cards.

Q: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: A jury has twelve members. Seven are women and five are men. If two jurors are chosen at random,…

A: Given, Total members = 12  Men = 5 women = 7

Q: An urn contains 39 red, 29 white and 16 blue marbles. A child selects two marbles at random and…

A: Total Red Marbles = R=39 Total white Marbles = W=29 Total blue Marbles = B=16 Total Marbles=84

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: Four cards are drawn at random from a pack. Find the probability that they are a King, a Queen, a…

A: Since we know that in standard pack of card there are 52 cards  And in standard deck of 52 cards…

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: In a group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

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.