Given P(An B') = 0.25, P(A) = 0.48 and P(B) = 0.42. Find P(A n B). Is A and B mutually exclusive events? Hence, determine whether A and B are independent events.

Q: 22 Given P(4) =0.5, P(B) = 0.6 and P(AU B) = 0.8. Calculate the probability that both events A and B…

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Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

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Q: If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).

A: given data  P(A) = 0.5 P(B) = 0.3 P(A∪B) = 0.67P(A∩B) = ?

Q: Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

Q: A and B are mutually exclusive events with P(A)= 0.30 and P(B) = 0.40. Calculate P(A or

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) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.32 and…

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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).

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Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.23 and…

A: It is measure of certainty or uncertainty is known as probability. The numerical evaluation of…

Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

Q: Given that A and B are two mutually exclusive events, find  P(A or B) for the following. P(A) =…

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Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

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Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: (a) P(ANB) and P(AUB) (b)…

A: A and B be independent eventsP(A)=0.2P(B)=0.3

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

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Q: Given P(A) = 0.3 and P(B) = 0.9, do the following. (a) If A and B are independent events, compute…

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Q: U and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.49. Find: a. P(U and V) = b. P(U|V)= c.…

A: The given probabilities are PU=0.29;PV=0.49. And also events U and V are mutually exclusive events.

Q: Let A and B are two events. P( A' and B') = 0.35 Find P( A Or B)

A: Answer: From the given data, A and B are two events, P(A' and B') = 0.35

Q: 3.75 For two independent events A and B, P(A) P(B) = .2. a. Find P(ANB). b. Find P(A|B). c. Find…

A: Given:P(A) = 0.4P(B) = 0.2

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

A: P(A)=0.1P(B)=0.5events A and B are independent

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

A: Given: P(A) = 0.50 P(B) = 0.30

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: Let A and B be two independent events with P(A) > P(B), P(AUB) = .626, and P(An B) = .144, determine…

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Q: Let A and B be two independent events such that P(A) = 0.11 and P(B) = 0.69. What is P(A or B)? Your…

A: given data, A and B be two independent events p(A)=0.11p(B)=0.69p(A or B)=?

Q: U and V are mutually exclusive events. P(U) = 0.3; P(V) = 0.49. Find: a. P(U and V) = b. P(UIV) = c.…

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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: 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: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: Two events A and B are such that P(A / B) = 0.5, P(AN B)= 0.15,P(A or B ) = 0.65. Find P(AN B).…

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