If a randomly selected teacher is asked their preference, what is the probability that the teacher has:   Only Snapchat? Facebook and Instagram? P(F ∩ I) None of the sites? P(F ∪ I ∪ S)’

Q: Ans. 1/243, 10/243, 40/243, 80/243, Q.6 If 20 % of the bolts produced by a machine are defective,…

A: Given : Let X : No. of bolts produced by a machine are defective n=5 p=0.20

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: A multiple choice question has c available choices. Let p be the probability that the student knows…

A:

Q: In a test, an examinee either guesses or copies or knows the answer to a multiple choice question…

A: Let us define some events A : an examine makes a guess. B : an examine copies the answer. C : an…

Q: q10- Two events A and B are said to be independent if: Select one: a. P(A ∩ B)= P(A)*P(B) b. All…

A:

Q: If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).

A: given data  P(A) = 0.5 P(B) = 0.3 P(A∪B) = 0.67P(A∩B) = ?

Q: Let A and B be events with P(A) = ½ , P(B) = 1/3, and P(AUB) = 7/12. Find (P(A∩B) Select one: a.…

A: Given  P(A) =1/2 , P(B) = 1/3, and P(AUB) = 7/12. Find (P(A∩B)= ?

Q: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

A:

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: Q2. A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The…

A: Given, Bag A: 3R, 4BBag B: 4R, 2B and 3G The probability of selecting Bag A is equal to the…

Q: (A) (B) (C) Brand A Brand B Brand C (P) 5. Cup (E) 6 6 8. Cone Select all that apply. Which two…

A:

Q: In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let…

A: Let us define some events  A : student knows the answer. B : student guess the answer. E : student…

Q: You have read 200 of the 400 novels in your home, but your sister Roslyn has read 100, of which only…

A: Solution-: We want to find the following (a) You have read 200 of the 400 novels in your home, but…

Q: Please state if the answer istrue or false. Thank you Two events, A and B, are independent if P(A…

A: Given statement is,  Two events, A and B, are independent if P(A and B) = P(A) × P(B)

Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: Cards are dealt from a full standard deck of 52 cards. Find the probabilities of: •The first card…

A: Given data: The total numbers of cards are n=52. The numbers of clubs are c=13. Write the expression…

Q: Events A and B are independent, where P(A) = 0.25 and P(B) = 0.10. Determine P(A∩B).

A:

Q: In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13%…

A: Introduction: The total sample size is n = 7. Denote x1, x2, x3, and x4 as the number of sampled…

Q: A game is played by rolling 2 die, one red and the other blue, then adding the results. (A). How…

A: a) Red die can have total of 6 outcomes (1,2,3,4,5,6) Similarly, the blue die can have 6 outcomes…

Q: A cook is preparing fruit jam for the festival next week. She has bought 30 apples from the farmer's…

A:

Q: An archery game is played by shooting arrows at a target. Each person can choose to have two or…

A:

Q: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All  pieces of…

Q: Which statement is true? A. The probability of choosing a girl's name from Classroom A is more…

A: Also, Each class have 12 girls Probability of choosing a girl from class A = 1224=0.5 But class B…

Q: The probability of drawing three cards from a deck of 52 cards with replacement, such that the first…

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Q: A family has 5 children, either boy or girl. The probability of each outcome is equal. Let A="the…

A: Given A="the first child is a girl"We can have first child to be girl in 1 way only.For each other…

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

A: Given that P(G) = 0.34, P(H) = 0.32, and P(G ∪ H) = 0.53 What is P(G|H) ?

Q: EFGH ~ XYZW. What is mZX? E Y 52° H. 122° 134° W mZX = hp

A:

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

Q: Let the sets S={1,2,3,4,5,6,7,8}, A={2,3,5,7} and B={1,2,4,5,7} find the probability of P(AuB)…

A: Solution-: Given: S={1,2,3,4,5,6,7,8}, A={2,3,5,7} and B={1,2,4,5,7} We want to find P(A∪B)=?

Q: atch against each other. This involves playing games of backgammon until one player has won four…

A:

Q: Two independent events A and B are given, and P (B|A ∪ B) = 2/3, P (A|B) = 1/2. What is P(B)?…

A: It is an important part of statistics. It is widely used.

Q: 5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the…

A:

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

Q: A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How…

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Q: On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A)+ P(B). How…

A: If two events A and B are mutually exclusive i.e they can not be occur simultaneously then  P(A and…

Q: Find the perimeter of a parallelogramwith sides measuring 3 310 meters,8 510 meters, 3 310 meters,…

A:

Q: Determine the probability distribution for the following: - Roll a 4-sided die, a 6-sided die, an…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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.