Given P(A) = 0.28, P(B) = 0.98, and P(A or B) = 0.47, are events A and B mutually exclusive? 1) Yes, they are mutually exclusive 2) No, they are not mutually exclusive

Q: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

Q: If A and B are mutually exclusive events with P (A) = 0.30 and P (B) = 0.40, then P (A or B) is:

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

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Q: Which of the following scenarios MUST represent two independent events? O P(blue) = 20%, P(green) =…

A:

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…

A: Events A and B are mutually  exclusive when  Hence, Event A and B are mutually exclusive.

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive? 1) Yes,…

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Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. 2.  Are the events…

A: 1. Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and…

Q: Draw a Venn diagram to illustrate the union of two events, A and B, where A and B are mutually…

A: Events A and B are mutually exclusive events.

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

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: If P (A) = 0.8, P (B) = 0.5, and P (A∪B) = 0.9, are A and B independent events? Why or why not?

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Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

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Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

A: Mutually exclusive events: The two events A and B are mutually exclusive events, then probability P…

Q: If two or more events have the property that at least one of them must occur when the experiment is…

A: Exhaustive events:Two or more events are said to be exhaustive if there is a certain chance of…

Q: 13) Suppose that P(A) = 0.4, P(B) = 0.3 and P(AU B) = 0.6, then what is the conditional probability…

A: Given: P (A) = 0.4 P (B) = 0.3 P (A U B) = 0.6 P (B | A) needs to be calculated.

Q: Given that events "A" and "B" are independent, P(A) = 0.80, and P(A and B) = 0.24, what is P(B)?

A: If two events A and B are independent, then P(A∩B)=P(A)*P(B) Given, P(A)=0.8 and P(A∩B)=0.24 So, it…

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Is it possible for events A and B to be both mutually exclusive and independent? Justify your…

A: Disjoint Events:  Two events A and B are disjoint or mutually exclusive if and only if both do not…

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: Events are independent if the occurrence of either of them has no effect on the probability of the…

A: Yes,  If the occurrence of one event has no effect on the likelihood of another event, the two…

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: (i) If a Gauteng resident is selected at random, what is the probability that (a) he is under 21 and…

A: Here AS PER POLICY I SHOULD HAVE TO CALCULATE 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4 PLZ…

Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.5, and P(A ∩ B)=0.13 P(B|A)=?

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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: E. If P(A)=0.8, P(B)=0.5, and P(AUB)=0.9, are A and B independent events? Why or why not

A: P(A) = 0.8 P(B) = 0.5 P(A U B) = 0.9   P(A ∩B) = P(A) + P(B) - P(A ∪B) P(A ∩B) =0.8 + 0.5 - 0.9P(A…

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: For the given probabilities, the Venn diagram is,

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

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: Given P(A) = 0.91, P(B) = 0.35, and the fact that events A and B are independent, What is P(A and…

A:

Q: Suppose that an individual is randomly selected from the population, and define events by A = {type…

A: From the provided data we have, We have the events defined as, A = (type A is selected) B = (type B…

Q: An event that cannot be defined in terms of more basic outcomes is called a

A: Event is the outcome of a random experiment. For example, the occurrence of head atleast once in 2…

Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: d B are independent events, P(A)=0.18, and P(B)=0.80, what is P(B|A)?

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

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: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?

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Q: If A and B are independent events. Then A and BC are independent.

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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: Suppose that C and D are events such that P(C) = 0.35,P(D) = 0.40, and P(C&D) = 0.30. Determine…

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Q: In an experiment, two or more events are said to be in preference to another. if, after taking into…

A:

Q: Are events A and B independent? Why or why not?

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

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: Are the two events "owning a dog" and "owning a cat" complementary? O YES O NO O CAT O DOG

A: We have to find the

Q: Given P(A and B) = 0.12, P(A) = 0.58, and P(B) = 0.44 are events A and B independent or dependent?

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

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

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Q: 4. Suppose you toss a coin and draw a card from a standard deck. Are these events independent or…

A: Two events are defined as A : tossing a coin B : drawing a card from standard deck.

Q: If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.