If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).

A:

Q: If two or more events are independent and success is defined as the probability that all of the…

A:

Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…

A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: Suppose the probability that you will be elected president of AUSG is 0.15, and the probability that…

A: Solution

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

A:

Q: If A and B are events with P(A)=0.2, P(A OR B)=0.74, and P(A AND B)=0.06, find P(B).

A:

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: Suppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.5. What is P(F|E)​?

A:

Q: If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

A: We have given that two events A and B are independent. P(A) = 0.35 P(B) = 0.20 We have to find P (A…

Q: If the probability for one and only one event of A and B to happen is 0.3, P (A) = 0.2 and P (B) =…

A: Given: P(A)=0.2 P(B)=0.3  the probability for one and only one event of A and B to happen is 0.3

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: If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X/Y)=?

A: Given X and Y are mutually exclusive events P(X) = 0.295, P(Y) = 0.32 If X and Y are mutually…

Q: If two events, A and B, are mutually exclusive, then P(A and B) = P(A) + P(B) True or False

A: When the two events cannot happen at the same time then these two events are called mutually…

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

A: If the event A and B are independent

Q: If the outcome of event A is not affected by event B, then events A and B are said to be* 2.

A: Answer: If the outcome of event A is not affected by event B, then events A and B are said to be…

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

A:

Q: Let A and B be events with P(A) = 0.8 and P(A ∩ B) = 0.2. For what value of P(B) will A and B be…

A: Given,  P(A) = 0.8  P(A ∩ B) = 0.2 P(B)=?

Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: The event with outcomes shown by an * is: A. Pr( Head AND (Odd OR Tail) AND EVEN) B. Pr( (Head AND…

A:

Q: If two events A and B are not disjoint, then the probability of their union

A:

Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: If the events A and B are independent, the events A and B (and similarly A and B) are also…

A:

Q: Example 17. If A and B are two events such that P(A) = P(B) = and Р(A u B) %3 2 A Find P B 1/4 1/3

A: Solution:

Q: If the outcome of event A is not affected by event B, then events A and B are said to be mutually…

A: Independence condition: If A and B are independent events, then P(A and B)=P(A)*P(B). That is,…

Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =

A:

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: For events A and B, P(A) = 0.24 and P(B) = 0.4. If A and B are independent events, then what is the…

A: We have to find the probability.

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: If the events A and B are independent, then so are A and B

A:

Q: If two events are independent with P(A) = 0.6 and P (B ) = 0.35 Is A and B are complementary events…

A: Given: P(A)=0.6 P(B)=0.35

Q: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

A:

Q: Which of the following is correct about the events A and B?

A:

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

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: If two events, A and B, are mutually exclusive, then P(A and B) = P(A) × P(B)

A: Mutually exclusive events are also called dis joint events. It means that events can't occur…

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: if two events A and B are manually exclusive, what is the value of P(A and B)?

A: If two events not occur at same time,then those events are called as mutually exclusive events.

Q: Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws.  A sports…

A:

Q: About two events A and B, we know that A occurs with 32% probability and B with 15% probability. It…

A:

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.78, and P(A AND B)=0.12, find P(B).

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment and…

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

A:

Q: If A and B are independent events with P(A)=0.6 and P(B)=0.2, find P(A AND B).

A: P(A) = 0.6 P(B) = 0.2

Q: IHA and B are mutually exclusive events with P(A) = 0.40 and P(B) = 0.20, then PAIB) is: 0.5 0.4…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose two events A and B are mutually exclusive. Would A' and B' also be mutually exclusive? If…

A: Mutually exclusive events are those whose outcomes do not have anything in common. That is, they do…

Q: If A and B are events with P(A)=0.5, P(A OR B)=0.75, and P(A AND B)=0.05, find P(B).

A:

Q: If A and B are independent events, with P(A) = 0.2 and P(B) = 0.3,then P(A and B) is?

A: Given, A and B are independent events. P(A)=0.2 P(B)=0.3

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

A: If two events A and B are independent then,

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.