If A and B are independent events such that P(A )=0.7 and P(B)=0.5 then P(A U B) O a. 0.9 O b. 0.5 Oc. 0.85 O d. 0.76 Co

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

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Q: Let A and B be two events such that P(A) = 1/7, P(AUB) =1/2, and P(AB) =1/2  Determine P(B)

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Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AnB)=

A: A and B are independent events  P(A) = 0.4  P(B) = 0.6

Q: Let A and B be independent events with P(A)=1/8 and ​P(B)=1/3. Find​ P(A∩B) and​ P(A∪B).

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Q: If A and B are independent events such that P(A) = 0.4 and P %3D

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: 2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. Calculate the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a…

A:

Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: Question * For two independent events A and B, if P(A OB) = 0,049 and P(A) = 10P(B), then P(A) is…

A: We have given that,  We have two independent events A and B and P(A∩B) = 0.049 and P(A) = 10P(B)…

Q: According to Jane, two particular events happened at the same time. T/F: According to Penny, these…

A: 3. To check whether the information is true or not.

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A:

Q: pany offers a subsidy to any family whose electricity consumption is less than 240kWh during a given…

A: The probability that consumption will not exceed in any of month P(A∩B) = P(A) +P(B) -P(A∪B)…

Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.3, and P(A ∩ B)=0.08. find each of the…

A: It is given that A and B are two events. P(A) =0.2 P(B)=0.3 and P(A ∩ B)=0.08

Q: Suppose that A and B are events such that P (A|B) = P (B|A) , P(AUB) = 1, and P(An B) > 0. Prove…

A: Solution: From the given information,

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

Q: A and B are events such that P(A) = 0.2, P(B) = 0.6, and P(A&B) = 0.1. Find P (A or B).

A: Given: P(A) =  0.2, P(B) = 0.6 and P(A and B) = 0.1

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

A:

Q: Suppose that A and B are events such that P(A) = 1/3, P(B) = 1/2 and P(A ∪ B) = 5/6. Find (a) P(A ∩…

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Q: Suppose that ? and ? are two independent events for which ?(?)=0.29 and ?(?)=0.64. Find each of the…

A:

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 &amp; their probabilities is P(A) = 0.9…

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: Let A and B be two events such that P(A) = ¼ While P(A or B) = ½. Let P(B) = P. For which value of…

A: The probability of happening of event A is 14. The probability of happening of event A or event B…

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 events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: Suppose A and B are independent events with P(A) = .6 and P(B) .8. Find (a) P(AU B), (b) P(AU B“),…

A: Given,P(A)=0.6P(B)=0.8and A, B are independent events

Q: If A and B are two events such that P(A) = 0.3 and P(B) = 0.6, then P(A|B) = ____

A: We have given that,  A and B are two events and P(A) = 0.3 and P(B) = 0.6, then, We will find P(A|B)…

Q: If the Event A must occur with certainty, then the probability of this event is in * .(between O and…

A:

Q: When two events are independent, the probability of both occurring is P(A and B) = O P(A) + P(B) O…

A: We have to find correct answer...

Q: = 0.2 and P(B) = 0.4, then %3D If A and B are two independent events where P(A) P(AN B) = O 0.2 O…

A:

Q: 2. If A and B are mutually exclusive events and P(A) = 0.3 and P(B) = 0.5, find a.) P(A U B) b.) P…

A: Given  A and B are mutually exclusive events and P(A)=0.3 and P(B)=0.5, Find a).P(AUB)b).P(A)'…

Q: Suppose that AA and BB are two independent events for which P(A)=0.18 and P(B)=0.8 . Find each of…

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

Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

A: Let , A and B be the two events. We have , P(A)&gt;0 and P(B)&gt;0 i.e. both have positive…

Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&amp;B).

A:

Q: if a and b are two events with p(a)=0.5 and p(a and b)=0.1, then P(BIA)=

A: Assume, A and B be any two events, P(A) denotes the probability of happening of event A and P(B)…

Q: Ex1: A batch of parts contains 100 from a local supplier of tubing and 200 from a supplier of tubing…

A:

Q: If A and B are two independent events where P(A) = 0.2 and P(B) = 0.3 , then P(AN B) = %3D O 0.2 0.5…

A:

Q: If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3)…

A: Given : p ( E ) = 0.2 p ( F) = 0.3

Q: Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.9. What is the P(E and F)? The…

A: The union and intersection probabilities of two events A and B are related by the following formula:…

Q: Suppose that events E and F are independent, P(E)= 0.4, and P(F)=0.7. What is the P(E and F)? The…

A:

Q: Let A and B be events such that P(A)=0.5, P(B)=0.4 and P (A U B) = 0.6 Find P (A/B). Probability =

A: Formula : P(A|B) = P(AnB)/P(B) P(AuB) = P(A) + P(B) - P(AnB )

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0.3. What is the probability…

A: Given data P(A) = 0.2 P(B) = 0.3 P(both event occurs) =?

Q: Let A and B be two events such that P(AC) = 0.70, P(B) = 0.50, and P(A U B) = 0.60. What is P(An B)?

A:

Q: If A and B are independent events such that P(A B) = 0.7300 and P(A N B) = 0.3431. Find P(A). Select…

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Q: If A and B are two independent events where P(A) = 0.2 and P(B) =0.4, then P(ANB) = %3D O 0.4 O 0.2…

A:

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F). a. 0.56 b. 0.33…

A: We have the formula for Union of two event

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.