2. Two events A and B are such that P(A)=0.21, P(B) = 0.29, P(A|B)=; 29 Calculate the probabilities that: both of the events occur; (a) (b) at least one of the events occurs; (c) exactly one of the events occurs; (d) B occurs, given that A has occurred.

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

A:

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: For each set of probabilities, determine whether the events A and B are independent or dependent.…

A: We have to find whether events A and B are independent or dependent in each part. Concept/Formula…

Q: 4. The probabilities for event A and B are P(A) = 0.4 and P(B) = 0.33. Find P(A U B) if a) A and B…

A: a). Given:P(A)=0.4P(B)=0.33 The formula of probability is: P(A∪B)=P(A)+P(B)-P(A∩B) As the events are…

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

A:

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

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: Suppose A = = the event that you get 8 hours of sleep, and B = the event that you exercis If P(A) =…

A: We have given that  P(A) = 0.26 P(B) = 0.37 P(AB) = P( A and B ) = 0.11   Conditional probability…

Q: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B). P(A and B) = X 5

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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: Suppose that A and B are two events. P(A) =0.32, p(B) = 0.41 and P(A and B )= 0.22 Calculate…

A: Answer: From the given data, Suppose that A and B are two events, P(A) = 0.32 P(B) = 0.41 P(A and B)…

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

A:

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: For events A, B, and C, we have the following probabilities: P(A) 0.7, P(B) = 0.5, P(C) = 0.3, P(A…

A:

Q: Suppose A and B are mutually exclusive events P(A) = 0.3, P(B) = 0.7 Find P(A|B) = Options:…

A:

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: Let A and B be two events such that P(A) = 1/4 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule state that:…

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

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

A:

Q: Let A and B be events with P(A) =0.4, P(B) =0.7, and P(B|A) =0.5. Find P (A and B).

A: The question is about prob. of events Introduction : If A and B are two events then the condition…

Q: Let A and B be two events of the same sample space.  The probability that the event A occurs equals…

A:

Q: let A and B be two independent events if P(A)=.74 and P(B)=.23 what is P(A|B)

A: Given that      A and B be two independent events     And          P(A)= 0.74        P(B) = 0.23 We…

Q: P(A) = 0.4 and P(B) = 0.5. Complete parts (a) through (d). Suppose that events A and B are disjoint,…

A: According to the given information in this questionThere are more than three subparts according to…

Q: Let A and B be two events such that P(A) = 1/5 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Given: P(A)=15 P(A or B)=12 Let, P(B)=p The objective is to find the value of p, since A and B are…