Detailed below is one of the nefarious dicing practices of the Win Some/Lose Some Casino. HINT [See Example 3.] Some dice are constructed in such a way that deuce (2) is ten times as likely to come up as 4 and four times as likely to come up as each of 1, 3, 5, and 6. Find the probabilities of all the possible outcomes. P(1) = 0.12 P(2) = 0.48 P(3) = 0.12 P(4) = 0.048 P(5) = 0.12 P(6) = 0.12 Find the probability that an odd number faces up. 0.36

Q: You and your friend are rolling a die. Assuming the dies is fair and six sided, calculate the…

A: For equally likely outcomes, the probability of favorable events can be given by the ratio of number…

Q: A techhician is workKing ntal research laboratory. She has 100 soll The technician randomly picks a…

A: We have given that,  Total sample in laboratory = 100 The sample the technician picks does not…

Q: Your friend rolls an "unusual" six-sided die many times. She reports the probabilities of the…

A: (a). There are 6 numbers in a roll of a unusual die We know that , in a probability distribution sum…

Q: A table at a fair is testing out a new game that works as follows: the player rolls two six-sided…

A: we have a new game in a fair of rolling 2 dices if player not getting 6 at first then he will not…

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: On a given weekend in the fall, a tire company can buy television and advertising time for a college…

A:

Q: (QUEEN’S SECRET AND GENIES) In old days, there was a queen and she had a secret problem to solve. To…

A: Given: The probability that her secret problem is solved by the male genie=0.3. The probability that…

Q: With what number outcome -15 must be changed to make the game fair ?

A: Let the new number in place of -15 will be x. To make the game fair, the expected outcome must be…

Q: Your probability professor wants to replace the value 4 in the probability distribution in (a) to…

A:

Q: Suppose we are buying chocolate frogs and want to collect cards of Luna, McGonagall, Neville, and…

A: Geometric distribution: A random variable X (number of trials) which can take only positive…

Q: am creating a game, based on the pattern of pink or yellow cards, and want to figure out some of the…

A: The number of pink cards players have is 6 The number of yellow cards players have is 6

Q: The probability that the mean height for the sample is greater than 65 inches is (Round to four…

A: It is given that  Mean, μ = 64.2 Sample size, n = 65 Standard deviation, σ = 2.55

Q: Bridget is registering for a reading class.  Below is a table of teachers and the periods they teach…

A: There are total number of classes N= 9.   Bridget prefers either Professor  Plum or Mr. Green. The…

Q: Please! I need help with this. This is a probability question. Please answer in a written paper.…

A: PROBLEM STATEMENT : - There are three doors, behind one a nice car, behind each of the other two a…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Given: There are two pair of dice, red and green. The sample space for two dice is:

Q: A group of students has a bag of candy. There are 3 Snickers bars, 2 Butterfingers, and 4 Baby…

A: Given that,The number of snickers bars are 3. The number of butterfingers are 2. The number of baby…

Q: A dice is rolled once. Let E be the event of an even number coming up, O the event of an odd number…

A: From the given information we want to know the event are independent or not.

Q: Fundraising by telephone Tree diagrams can organize problems having more than two stages. The figure…

A: Given, P(Check I Pledge ∩ Recent ) =0.8 P(Check I Pledge ∩ Past ) =0.6 P(Check I Pledge ∩ New ) =…

Q: Find the expected value of the psychic's profit by filling in the boxes below with you answers. Use…

A: Reviewing information, PBoy=0.51P(Girl)=0.49Cost=$20If psychic is wrong, he has to pay back $20

Q: For some reason, you've decided to play a game of Monopoly with your friends. After what seems like…

A: The observed frequencies for the sum of two dice are given as…

Q: In craps which of the following scenarios is least likely? (Remember, for each roll you're rolling…

A:

Q: In a certain year, 28.9% of all light vehicles were light trucks, 28.9% were SUVS, and 42.2% were…

A: Let us denote L=light truck , S=SUV, C=car, D=side impact crash will prove deadly to a driverGiven…

Q: Problem: Let A and B be events. Is it necessarily true that P(A|B) = P(B|A) ? If so, explain why. If…

A: We have, Let A and B be events. Is it necessarily true that P(A|B) = P(B|A)  ?

Q: Your friend rolls an "unusual" six-sided die many times. She reports the probabilities of the…

A: a) Number Rolled 1 2 3 4 5 6 Probability 0.20 0.20 0.10 x 0.10…

Q: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and P (A and B) =…

A: According to the given information, we have Let A and B be two events, P(A) = 0.4 P(B) = 0.5 P(A and…

Q: (i) What is the mean number of cards held by a person from this group? (ii) What is the variance of…

A: Given: Y   X 0 1 2 3 4 Total 1 0.08 0.13 0.09 0.06 0.03 0.39 2 0.03 0.08 0.08 0.09 0.07…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Given: Two fair dice Red and Green are rolled. The objective is to find the conditional probability…

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.