If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?

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

A: Two events A and B are said to be independent if,

Q: What is the value of Σ(X - 4)2 for the following scores?  Scores: 4, 1, 6, 5

A: Given that, Scores (X): 4, 1, 6, 5 Calculate (X-4):

Q: Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and…

A:

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: (a) Find the probability of the union between (getting the the flu) and (getting the flu shot). (b)…

A: Let A be the event that gets the flu. Let B be the event that gets a flu shot. P(A) = 0.2  P(B) =…

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: Given P(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: A soccer player is practicing her goal kicking. She has a probability of 3/5 of scoring a goal with…

A: The sample size n is 15 and p=3/5.

Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

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: n1 = 55 and n2 = 65  p1 = .7 and p1 = .6.  Ho:(p1-p2)=0 against Ho:(p1-p2)>0 using a=.05

A:

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: Given P(A or B)=0.21, P(A)=0.43, P(B)=.005 What is B

A: The general formula of probability is given by, (P(A or B)=P(A)+P(B)-P(A and B) For this case,…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

A:

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

A: Independent event

Q: Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5, and the…

A:

Q: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

A: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

Q: For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|

A:

Q: If P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

Q: Suppose that P(E)=0.15, P(F)=0.45 and P(F|E)=0.7 Are E and F independent? Determine whether the…

A:

Q: 3. A student is taking two courses, history and math. The probability the student will pass the…

A: Given ,  Let , A be the event that the student will pass history course P( A ) = 0.52 B be the…

Q: For two independent events, A and B, P(A) = .6 and P(B) = .2. a. Find P(ANB). b. Find P(A|B). c.…

A: a) The required probability is calculated as follows

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.