If two events A and B are independent and you know that P(A) = 0.85, what is the value of P(A | B)?

Q: How are your grades? In a recent semester at a local university, 400 students enrolled in both…

A: given data  n(total) = 400 n(A in statistics) = 90 n(A in psychology) = 68 n(A in both) = 31

Q: (a) Which of the following must be true about Deshaun's score? Deshaun scored higher than about 68%…

A: It is given that  Deshaun’s percentile = 32nd Susan’s percentile = 66th

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)

Q: arch report states that t(18)=+3.09, p<. 05. For this test, r2 =. 33. True

A: Given: df = 18 test value (t) = 3.09

Q: Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: 5. The average number of seconds between visits to a specific website is 53 seconds. If the website…

A: Given  The average number of seconds between visits to a specific website=53 seconds. The…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: What is the probability of exactly 0 boys What is the probability of exactly 1 girl

A: The outcome for event couple has three children is: Ω= {GGG, GGB, GBG, GBB, BGG, BGB, BBG, BBB}…

Q: Problem 6. Let A and B be two events and assume P(A) = 0.35 and P(B) : %3D 0.45. Assume further that…

A: P(A) = 0.35P(B) = 0.45P(A|B) = 0.80

Q: You're running an experiment to determine whether people can taste the difference between Coke and…

A: Given, proportion for coke or pepsi is 0.5 P0 = 0.5           To find, (a) A person is given 10…

Q: We are learning to use the formula: P(A or B)=P(A)+P(B)-P(A and B)   Now, the question is: Using…

A: Given data in the question;   A            B         C D Order Accurate             330 267…

Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?

A: Solution: From the given information, A and B are two independent events and P (A) =0.60.

Q: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: When are two events said to be Independent? give a real-life example to explain the answer.

A: Independent events: Let A and B be two events. The events A and B are said to be independent if…

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

A:

Q: What percentage of scores is between a z of ‐2 and a z of +2? Why is this important?

A: Use Empirical rule to solve it

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: Independent event

Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32  and  P(B) = 0.28 If events A and B are independent events

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A:

Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?

A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…

Q: Consider a carnival game where a player is given two chances to throw a ball to hit a moving target.…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?

A:

Q: If events A and B are independent and P(A)= 0.25, P(B)= 0.30 Calculate P(A and B)? Round to two…

A: Events A and B are independent.

Q: Let us flip a coin where heads represent +1 and tails represent -1 If you cannot go under a score…

A: Given information: Let us flip a coin where heads represent + 1 and tails represent -1. Score should…

Q: Suppose you toss a fair coin twice. Let E be the event of getting a head on the first toss, and let…

A: a) When a fair coin is tossed twice then the possible outcomes are {HH,HT,TH,TT} We can get a head…

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: Q2. Write the four conditions to say the events E, F and G are said to be independent.

A: The four conditions to say the events E, F and G are independent are,

Q: Suppose that your younger sister is applying for entrance to college and has taken the SAT. She…

A:

Q: Hi! from the previous explanation I have doubts about how the probabilities of the table are found…

A:

Q: The values of P(Z≤−0.1) and P (Z≥0.1) are the same. Why?

A: We have given that  P(Z≤−0.1) and P (Z≥0.1)

Q: The events A and B are independent. P(A)=2x, P(B)=3x, P(AUB)=2/3). Find the value of x.

A: Given Data: P(A)=2x P(B)=3x P(AUB)=2/3 The probability of A intersection B is, PA∩B=PA·PB=2x3x=6x2

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.