Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independen Then P(A|B) is Select one: O a. 0.2 O b. None of the others O c. 0.08 O d. 0.5

Q: Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have…

A: From the given venn diagram, n(c and j)=45 n(c)=30+45=75 n(j)=45+135=180 n(s)=300 a) The probability…

Q: If A denotes some event, what does A denote? If P(A) = 0.992, what is the value of P(A)? What does A…

A: Solution: Let A be the some event.  P( A)= 0.992

Q: Let A and B be events such that P (A) = 4/10 and that P (A U B) = 7/10 Find the probability of B…

A:

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Assume that we have two events A and B, that are mutually exclusive. Assume further that P(A) = 0.35…

A: Two event called mutually exclusive if p(a and b)=0

Q: Which of the following cannot be a probability? О а. 7/3 O b. 1 O c. 2/9 O d. 0.47

A: We know that the  value of probability lies between 0 and 1.

Q: 36. Let p be the probability that a man aged x years dies in a year. Find the probability that out…

A:

Q: 5. The probability that at least one of the events A and B will occur is P(A ∪ B) = P(A) + P(B) −…

A: and

Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

Q: = 0.23 and Assume that we have two events A and B, that are mutuUally exclusive. Assume further that…

A: we have two events A and B, that are mutually exclusive then A∩B=∅ and P(A∩B)=0 and given P(A)=0.23…

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3…

A: P(H) = 0.3P(R) = 0.4P(H∩R) = 0.2

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…

A:

Q: S. One ticket is drawn at random from a bag containing 30 tickets numbered from I to 0. Find the…

A:

Q: If A and B are mutually exclusive events such that P(A) = 0.45 and P(B)=0.35. Then P(A and B)= %3D…

A: Given that P(A) = 0.45 P(B) = 0.45 And given that A and B are mutually exclusive events

Q: If A denotes some event, what does A denote? If P(A) = 0.008, what is the value of P(A)? What does A…

A: Given data: If A denotes some event, what does A' denote? If P(A) = 0.008, To find: what is the…

Q: The probability of drawing (3 :red ball before addition is

A:

Q: ppose that E and F are two events and that P(E and F) = 0.5 and P(E) = 0.8. What is P(F|E)? FIE) =…

A:

Q: Let A be the event that a student gets an A in Basic Statistics. Let F be the event that a student…

A: Given, Let A be the event that student gets an A basic statistics. And F be the event that student…

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

A:

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

A:

Q: The probability of an any event is a. A Positive number above 1 b. A Positive number between and…

A: In general, the probability is defined as a number between 0 and 1, where 0 implies the…

Q: Suppose that 1 out of 5 cars needs an oil change. Suppose we are to randomly select 8 cars. Let X be…

A:

Q: When A and B are any two events such that P(A) = 0.55, P(B) = 0.41 and P(AUB) = 0.4 then P(AN B) =…

A: We have to find given probability.

Q: Suppose that A, B and C are three independent events with P(A)=0.20 P(A interception B)= 0.08 and…

A:

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: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)? O A.…

A: Given:

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

A:

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: A die is thrown. If E is the event "the number appearing is a multiple of 3" and F be the event "the…

A:

Q: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3

Q: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If events A and B are not independent, then it is impossible that P(A) + P(B) > 1. Select one: O A.…

A:

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74

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.