Suppose you have a jar with 2 gold coins, 3 silver coins, and 5 bronze coins. (a.) Suppose you take 3 coins out of the jar. What is the probability that all three arebronze? (b.) Suppose you take 2 coins out of the jar. What is the probability that one is silver andone is gold? (c.) Suppose you take 2 coins out of the jar in sequence, with replacement. What is theprobability that both are gold? Least one is Silver?

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given that the outcomes that are possible when a couple has three children. Assume that boys and…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Solution

Q: How can I solve this... Thank you for your help!

A: Given: Box A: 4 Red, 6 Blue Box B: 5 Red, 2 Blue Box C: 2 Red, 3 Blue Part a) P(All three balls are…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given The eight simple events are equally likely. 1st   2nd   3rd   boy − boy…

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: Three students are selected randomly from a group of 3 males and 7 females. Find the  probability…

A: Introduction: A group consists of 3 males and 7 females, that is, 3 + 7 = 10 students.

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: We have given that  8 possible out come in which exactly 1 boy.

Q: A bag contains 4 red marbles and 7 blue marbles. You randomly pick a marble, return it to the bag,…

A: Given Data: The number of red marbles is: r=4 The number of blue marbles is: b=7 The total number of…

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: 3rd D To the right are the outcomes that are possible when a couple has three children. Assume that…

A: Given: Total number of events=8Number of events containing exactly 1 boy=1 The probability of…

Q: 1. A family has 3 children: boys and girls are equally likely offspring. What is the probability of…

A: Given : A family has 3 children : Let, B = boy G =Girl The total possible outcomes is :…

Q: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given : Possible outcomes of boy , girl when couple has 3 children are : Possible outcomes (n)=8…

Q: A math class consists of 25 students, 14 female and 11 male. Three students are selected at random…

A: Given No of students=25 No of females=14 No of males=11 No of students selected at random=3

Q: Mona has a bag containing 4 red marbles, 12 greens marbles, and 8 black marbles. Without looking,…

A: Given data: The numbers of red marbles are r=4. The numbers of green marbles are g=12. The numbers…

Q: Your drawer contains 10 red socks and 6 blue socks. It's too dark to see which are which but you…

A: As per our guidelines we are suppose to answer only one question. Given,no.of red socks=10no.of blue…

Q: Marcus has 10 gumballs in a bowl. There are 7 yellow, 1 red gumballs, and the rest are blue.without…

A: Total number of gumballs= 10 Number of yellow gumballs= 7 Number of red gumballs= 1 Number of blue…

Q: In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.