Find the probability of the following events; P(A), P(B), and P(An B)

Q: Suppose events A, B, and Care independent and PLA) - PIB) - PC) - Find the probability. (Enter the…

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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 A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?

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Q: Let A and B be two disjoint events such that P(A) = 0.27 and P(B) = 0.51. 4 What is P(A or B)?

A: GivenLet A and B be two disjoint eventsP(A)=0.27P(B)=0.51

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: Which of the following events are independent, given P(A),P(B), and P(A and B)? A. P(A) = 0.3; P(B)…

A: We have to check

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: Determine P(B|A), If A and B are the events with P(A) = 0.34, P(B) = 0.26 and P(AUB) = 0.49

A: Answer: From the given data, P(A) = 0.34 P(B) = 0.26 P(A∪B) = 0.49

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: A and B are independent events P(A) = 0.25 and P(A and B) = 0.14 then, find P(B) ?

A: Answer: Given that, A and B are independent events P(A) = 0.25 P(A and B) = 0.14

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: Let A and B be two disjoint events such that P(A) = 0.09 and P(B) = 0.56. What is P(A or B)?

A: A and B are disjoint events.  P(A) =- 0.09 P(B) = 0.56 P( A or B) = ?

Q: Given events G and H: P(G) = 0.47; P(H) = 0.22; P(H AND G) = 0.18. Part (a) Find P(H OR G). Part (b)…

A: Farmula used  P(A or B)=P(A)+P(B)-P(A and B)

Q: A cook is preparing fruit jam for the festival next week. She has bought 30 apples from the farmer's…

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Q: The probability of owning a cat is P(C) = 0.24, while the probability of owning a dog is P(D) =…

A: Given information P(C) = 0.24 P (D) = 0.52

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: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

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Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

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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…

A: Solution

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: A ball is drawn randomly from a jar that contains 3 red balls, 9 white balls, and 6 yellow ball.…

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Q: 1 Let A and B be independent events with P(A) = P(An B) = P(A U B) = and P(B) = 13. Find P(An B) and…

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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: 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: 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: 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: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: Q5: Students of two different schools have examined the math subject. The number of students of the…

A: It is given that students of two different schools have examined the math subject and the number of…

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A or B) =…

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Q: U and Vare mutually exclusive events. P(U) = 0.21; P(V) = 0.6. Find: a. P(U and V) = b. P(UIV) = c.…

A: According to the given information, We know that, U and V are mutually exclusive events. P(U)=0.21…

Q: 3% of the items of a factory are defective. The items are packed in boxes. What is the probability…

A: Answer: From the given data, The probability of defective items = 3% = 0.03 Number of items in the…

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)?

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Q: Given P(A) = 0.63, P(B) = 0.27, and the fact that events A and B are independent, What is P(A and…

A: Formula : P(A and B) = P(A) * P(B)

Q: In example,  A and B are two independent events with P (A) = 0.50 and P (B) = 0.20. Count it for  P…

A: P(A) and P(B) = P(A x B) Thus P(A×B)=0.50×0.20=0.1

Q: Suppose P(A) = : Find the probability. P(A)

A: We have to find given probability..

Q: Suppose A and B are mutually exclusive events. P(A)= 0.33, P(B)= 0.30 Calculate P(A or B)?

A: Answer: Given that, A and B are mutually exclusive events P(A) = 0.33 P(B) = 0.30

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).

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Q: P(B) P(A) = 4 3 P(B|A) = ? 5

A: According to the given information, we have P(A)=14P(B)=35