Probabilities when events are dependent (for example sampling without replacement).  A useful formula: P(A and B) = P(A)*P(B| A) when events A and B are dependent.  P(B|A) = Probability of getting B if you know A occurred.    A classroom has 9 first graders, 7 second graders, and 6 third graders. You are giving two prizes to students in the class (the same student can NOT win both). You select a student at random to give the first prize and then select a second student at random (from the remaining students) for the second prize.  What is P(both prizes go to first graders) = P(A and A) where A = event a 1st grader is chosen?

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

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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: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

Q: The Venn diagram below shows the 11 students in Ms. Bailey's class. The diagram shows the…

A: Total number of students : n=11 A : Student is in the Music club B : Student is in the Basketball…

Q: (a) Find the probabilities of the events below. Write each answer as a single frection. P(4) - P(B)…

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Q: Multiply probabilities? A traffic light at an intersection near Jamal's house is red 10% of the…

A: Independent event:Two events are independent, if the occurrence of one event does not affect the…

Q: Find P(A and B). (Give your answer correct to two decimal places.) A and B are independent events,…

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Q: A and B are independent, P(A) = .5, P(B) = .5, Find the probability of the union of A, B

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Q: The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a…

A: From the provided information, Outcome Probability 1 0.1 2 0.1 3 0.1 4…

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

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Q: The probabilities of events A, B, and An B are given. Find (a) P(A U B), (b) the odds in favor of…

A: Since you have posted a question with multiple sub-parts, we will first 3 sub-parts for you. To get…

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

A: From the given Venn diagram Total students = 8

Q: Probabilities when events are independent (for example sampling with replacement).  A useful…

A: The question is about prob. Given : No. of blue balls in a bag = 10 No. of red balls in a bag = 11…

Q: The Venn diagram below shows the 8 students in Ms. Taylor's class. The diagram shows the memberships…

A: Given n=8

Q: Suppose A and B are mutually exclusive events with P(A) - 0.25 and P(B) = 0.25. Find the following…

A: For Mutually exclusive events, P(A U B) = P(A) + P(B)               =0.25 + 0.25               =0.5…

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: A family has 5 children, either boy or girl. The probability of each outcome is equal. Let A="the…

A: Given A="the first child is a girl"We can have first child to be girl in 1 way only.For each other…

Q: Multiply probabilities? A traffic light at an intersection near Jamal's house is red 40% of the…

A: Formula : For independent event, P(A n B) = P(A) * P(B)

Q: Question : John is having a dinner at a restaurant, which sells 3 kinds of dishes, A, B, and C. The…

A: The probability of ordering 3 kinds of dishes A, B, and C are 0.4, 0.3, and 0.3. The probability of…

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

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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: The Venn dia- The diagram Note that "La One student f Let A denote Let B denote Answer each

A: Solution

Q: Number 49 parts A and B

A: Let the event A denotes “watch the masters” And, the event B denotes “watch the British Open”. The…

Q: 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.…

A: a) Probability of an event is the chance of occurrence of that event.