12-24. (a) Choose the correct alternative : "For two equally likely, exhaustive and independent events A and B, P(AB) is: (i) 0. (ii) 0.25, (iii) 0.50. (b) Comment on the following : A and B are two events such that P(B) 4 P (A U B) = P(A) Hence P(BA) =

Q: A and B are two events such that P(A)-0.5 and P(B)-0.6 and P (AIB) = - then P (AIB) = 0.9 1 0.6 not…

A:

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: (ii) The desks in a certain classroom are produced by three different carpenters A, B and C. A…

A: 8) ii) Given: P(A)=0.3 P(B)=0.45 P(C)=1-0.3-0.45 =0.25 P(D|A)=0.03 P(D|B)=0.06 P(D|C)=0.04 a) The…

Q: (b). A and B are two events such that 1 1 3 P(B) == and P(AUB) = - Calculate: P(A) = (i). P(B|A)…

A: Given,P(A)=13P(B)=12P(A∪B)=34

Q: 5. A and B are two events such that P(B) = P(An B) =and P(B|A) = Find a) P(A) b) P(A|B) c) P(A|B)

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Q: Suppose that ?(?)= 0.7 and ?(?)= 0.2. If both events are disjoint, then what is ?(? ?? ?)?  (a) 0…

A: Solution

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

A:

Q: b) Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(ANB)

A:

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

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: 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 given values in the above formula.

Q: a) Two events, A and B, are such that P(AuB) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: We calculate  probability of  given events

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

Q: Two events, A and B, are such that P(A) = 0.08, P(B) = 0.07 and P(B|A) = 0.25. (i) Find P(B), P(A n…

A:

Q: For two events, A and B, we have P(A) = 0.8, P(B) = 0.7, and P(AUB) = 0.9. Then, the value for P(BA)…

A: Given that  P(A) = 0.8, P(B) = 0.7, and P(A U B) = 0.9.

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

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Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine P(AUB)'

A: Given data, P(A∪B) = 0.86 P(B) = 0.72  P(A) = 0.64 P(AUB)' =?

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: A and Bare independent events. P(A) = 0.50 and P(B) = 0.20. %3D What is P(A and B)? O A. 0 B. 0.10…

A: We have given that,  A and B are two independent events with P(A)=0.50 and P(B)=0.20 Then,  We will…

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: For two events, A and B, we have P(A) = 0.85, P(B) = 0.65, and P(AUB) = 0.9. Then, the value for…

A: P(A)  = 0.85  P(B) = 0.65  P(A∪B) = 0.9P(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: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

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: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: If A and B are independent events P(A)= 0.25 and P(AuB) = 0.67 then Find P(B)

A: From the given data, A and B are independent events, P(A)=0.25 P(A∪B)=0.67

Q: 8. (1) Given that three events A, B and Care such that P(A) - P(C), P(A n) P(An C) P(C\B) = 2/7 and…

A: Given: Three events A, B & C. P(A)=P(C)

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

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Q: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are 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: A and B are events such that P(A)=0.75 and P(B)=0.16 Find mutually exclusive P(A\B)

A:

Q: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…