Two events can be both Dependent and NOT Disjoint. True False

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Which pair of events are independent

A: Events A and B are said to be independent if P(A and B)=P(A)*P(B)

Q: If A and B are two independent events, then P(A|B) = P(B) True or false?

A: We have given that,  If A and B are two independent events, then P(A|B) = P(B) True or false?

Q: If two events are independent with P(A)=D0.6 and P(B)=D0.3 then which of the following is true?

A: Question: If two events are independent with P(A) = 0.6 P(A) =0.3, then which of the following is…

Q: The statement "Two events are mutually exclusive if they cannot both occur", is correct?

A: The statement is "Two events are mutually exclusive if they cannot both occur".

Q: If two events are mutually exclusive, then: (A the events can occur at the same time B They also…

A: Here we use the basic probability concept.

Q: Give examples of two independed events.

A: Two events A and B are called independent events, if occurring of event A does not affect the…

Q: If two events are disjoint, can they be independent? If yes, give an example; if no, prove that it…

A: Independent events: Two or more events are said to be independent if the occurrence of one does not…

Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?

A:

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 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: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

A:

Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Given, Pr(A) = 0.5 Pr(B) = 0.5 To calculate PrA∩B'

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: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

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

A:

Q: Two events are mutually exclusive if_ O They are independent

A: Mutually Exclusive Events: If the events E and F are mutually exclusive events, then there is no…

Q: Give an example of two events that are Independent and Dependent. Thank you very much

A: Independent : Two events are independent if the result of the second event is not affected by the…

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

A:

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: Two events are independent if P(C\D) = P(C).. (a) True (b) False

A: Given: Two events are independent if P(C|D) = P(C)

Q: If two events are mutually exclusive, then they are independent. select one : a. True b. False

A:

Q: Can two events A and B be independent of one another and disjoint? Explain what conditions are…

A: Two events are independent, if the occurrence of one does not change the probability of the other…

Q: Two events A and B are disjoint if p (A∩B) = 0 Select one: True or False

A:

Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?

A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…

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: If A and B are mutually exclusive events, then P(A U B) equals А.Р(A)+P(B)-P(Ав) В.Р(А)xP(В)

A: Given,if A and B are mutually exclusive events .so, P(A∩B)=0

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

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

A:

Q: Events A and B are independent, with P(A) = 0.16 and P(A and B) = 0.08. What is the value of P(B)?

A:

Q: Suppose that A and B are two events and that P(A and B) = 0.6 and P(A) = 0.8. What is P(B|A) ?

A:

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Since the events A and B are independent, the events A and are also independent.

Q: Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and…

A: Given that two events E and F are independent.

Q: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

A:

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

A:

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

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

A: Here use basic of independent event

Q: If two events are mutually exclusive, then the following is true: a. They cannot be mutually…

A:

Q: Determine if events A and B are independent: P(A) = 0.6 P(B) = 0.8 P(A ∩ B) = 0.2

A: Given,   The objective is to determine if events A and B are independent.

Q: Dependent events are (sometimes, always, never) (choose one) mutually exclusive.

A: Dependent events are events in which occurrence of one event affects the occurrence of the other…

Q: If two events, A and B, are independent then which of the following does not have to be true? (1)…

A: ANSWER : option 3 is correct.    EXPLANATION :

Q: If the events A and two disjoint even then

A: Two dis joint events are those which cannot occur together.

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,

Q: Suppose that A and B are two events for which P(A)=0.22, P(B)=0.82, and P(AandB)=0.36 Find P(A|B).

A: We have to find conditional probability. Formula : P(A|B)=P(A and B)P(B)