P(A or B)=P(A) + P(B) – P(A and B) (a) Is it ever possible that P(A) = 4.3? Explain why or why not. (b) What would need to be true about A and B to ensure that P(A and B) = 0? Justify your answer. Feel free to use create an example probability question where you could define events A and B to help you answer the question.

Q: Example 3.12. n persons are seated on n chairs at a round table. Find the probability that two…

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

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Q: Let A and B be independent events, with P (A) = 1/2 and P (B) = 1/2. Read statements (a) through…

A: Let  and  be independent events. and

Q: She has all the red ones.

A: Suzy is given a bag containing 4 red marbles, 3 green ones, 2white ones, and 1 purple one. She grabs…

Q: Events AA and BB are independent. Find the indicated Probability. P(A)=P(A)=    P(B)=0.6P(B)=0.6…

A: GivenP(B)=0.6P(A∩B)=0.54Events A and B are independent

Q: In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is…

A: This question is about two players, Melvin and Rufus, playing a game at a casino in Reno. In the…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

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Q: Question 1 Let A and B be two events, such that P(A) = 0.78 and P(B | A) = 0.82. Find the following…

A: P(A) = 0.78P(B|A) = 0.82P(A∩B) = ?

Q: In a class, 50% of the students play basketball, 20% of the students play football and 10% of the…

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Q: #2 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. if 1 bead is…

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Q: Probability scientist Atli decides to play in a lottery where there are many prizes on offer. The…

A: Let X represent the random variable n=10 p=0.01 X~ Binomial (10, 0.01)

Q: The two events A and B are independent with P(A) = 0.3 and P(B) = 0.15. Then P(Ān B) =

A: Given that P(A)=0.3 P(B)=0.15 P(A BAR intersection B bar)=?

Q: A and B are events such that P(A) = 0.4,P(B) = 0.5, and P(A&B) = 0.2. Answer each question and…

A: a.Mutually Exclusive Events:Two events are said to be mutually exclusive if they cannot occur at the…

Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

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Q: Suppose events B and C are independent and P(B) = 1 P(C) = 1 3 6 Find the probability. (Enter the…

A: Here given that P(B) = 13     P(C) = 16A, B are independent so P(A,B) = P(A).P(B)

Q: A survey on campus revealed that 61% of the students felt that a new attendance policy was unfair.…

A: The complement probability formula is, PA=1-PA A survey on campus revealed that 61% of the students…

Q: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

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Q: A and B are events in a probabitity space 57, and Find P(A). P(A) Note: Enter your answer as a…

A: P(A)= .37

Q: A geologist has collected 18 specimens of basaltic rock and 18 specimens of granite. The geologist…

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Q: Let A and B be events and suppose P(A) = 0.3, P(B|A) = 0.6, and P(B|AC) = 0.4. Find the following…

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Q: 14 In the morning I drink a warm beverage and watch the cars go by on the road in front of my house.…

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Q: P(A and B) =0.43 P(B)=0.8 Find the conditional probability of  A given B?

A: It is given that, P(B)=0.8 P(A and B) =0.43

Q: probability that event A will occur isP(A)=0.56. What is the probability (in decimal form) that…

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Q: 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service,…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

Q: For our study, we used the following formula: P (A or B) = P (A) + P (B) − P (A and B) (a) Is it…

A: Please see below

Q: Events A and B are independent. Find the indicated Probability.P(A) = 0.4P(B) =    P(A and B) = 0.16

A: Condition for Independence:   If A and B are independent events, then P(A and B)=P(A)*P(B).

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.44 and event B…

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Q: Let A and B be two independent events. P(A) = 0.2 and P(A U B) - 0.3. What is the value of P(B)?…

A: From the provided information,The events A and B are independent.

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: P(A and B) =

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Q: Events A and B are independent. Find the indicated ProbabilityP(A) = 0.02P(B) = 0.27P(A and B) =

A: Given data A and B are independent P(A) = 0.02 P(B) = 0.27 P(A and B) =P(A) x P(B) =  0.02 x 0.27…

Q: You challenge your friend to an arm wrestling match consisting of a series of four rounds. From past…

A: Let X: no. of rounds win by friend out of 4 rounds This X is binomial random  variable Probability…

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: Use the formula for the probability of the complement of an event.A pair of dice is rolled 3 times.…

A: The sample space for rolling a pair of dice is, The number of favorable outcomes is, sum of 5 on…

Q: A and j are mutujally excljusive events. P(A) = 0.30 and P(B) = 0.50. What is P(A or B)? O A. 0.80 О…

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Q: If A and B are independent events, with P(A) = 0.5 and P(B) = 0.6, then the probability that A and B…

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