A box contains two coins: a regular coin and one fake two-headed coin (P(H) = 1). I choose a coin at random and toss it twice. Define the following events. %3D • A= First coin toss results in an H. • B= Second coin toss results in an H. • C= Coin 1 (regular) has been selected. Find P(A|C), P(B|C), P(AN B|C), P(A), P(B), and P(An B). Note that A and B are NOT independent, but they are conditionally independent given C.

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.54. Find: a. P(U and V) = b. P(U|V) =…

A: It is given that P(U)=0.33 and P(V)=0.54.

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

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Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: Two cards are selected with replacement from a standard deck of 52 Find the probability of selecting…

A: the probability of selecting a 4 and then selecting a 5 selecting a 4 have  4 possible cases…

Q: event that the smoke will be detected by at least one of A and B. b. event that the smoke will not…

A: Here given ,  A smoke detector system uses two devices, A and B. If smoke is present, the…

Q: A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 75%…

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Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: Three players Dan, Emily, and Frank are tossing a biased coin with P(H) = α. They rotate turns…

A: P(H)=α

Q: A cafe´ serves four types of bread roll, and each roll contains one of four fillings. The…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: In a population where 25% of voters prefer Candidate A, an organization conducts a poll of 1616…

A: P(prefer candidate A) = 0.25 n = 16 voters P(0 of 16 will prefer candidate A) = ?

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

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Q: A poker player has either good luck or bad luck each time she plays poker. She notices that if she…

A: Given data A poker player has either good luck or bad luck each time she plays poker. she notices…

Q: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of…

A: Solution: Let X be the event that contractor buys cement from supplier A and Y be the event that…

Q: Determine if events A and B are independent: P(A) = 0.5 P(B) = 0.7                P(A U B)= 0.85

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Q: In a statistics class of  35 students, there were 10 men and 25 women. Six of the men and seven of…

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we…

Q: A poker player has either good luck or bad luck each time she plays poker. She notices that if she…

A: Given: The given question contains two different states of possibilities., Player has either good…

Q: n a certain college, 35% of the boys and 20% of the girls are studying mathematics. The girls…

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Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

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Q: A department organized a pizza party and a barbecue for the sophomore class of 1000 students. 375…

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Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?

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Q: Assume that we have two events A and B, that are independent. Assume furlher that P(A) = 0.35 and…

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Q: Aaron draws one marble out of a bag, places it in his pocket, and then draws another marble. Are the…

A: Two events are considered independent if the outcome of the second case is unaffected by the outcome…

Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…

A: Let  be the number of number of free throws.The probability of making free shot:  The total number…

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: We have given that,  P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Then, We will find P(D|B) = ?

Q: Given P(A) = 0.64, P(B) = 0.79, and the fact that events A and B are independent, What is P(A and…

A: Answer: From the given data, P(A) = 0.64 P(B) = 0.79 The events A and B are independent, which…

Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

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Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

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Q: Tevin buys a bag of cookies that contains 4 chocolate chip cookies, 7 peanut butter cookies, 8 sugar…

A: The information provided in the question are as follows :- Number of chocolate cookies = 4 Number of…

Q: In a certain college, 35% of the boys and 20% of the girls are studying mathematics. The girls…

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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: Suppose that E and F are two events and that N(E and F)=450 and N(E)=750. What is P(F|E)?

A: