In a class of 30 students, 19 play tennis, 3 play both tennis and volleyball, and 6 do not play either sport. The following Venn diagram shows the events "plays tennis" and "plays volleyball". The values t and v represent numbers of students.

Q: One card is selected from an ordinary 52 card deck with an event A as "seleet a King", B as "select…

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Q: When tossing 4 coins, if A event represents the appearance of at most 3 pictures, then A is : {HHHH)…

A: As Prof. N. G. Das said "An event is an outcome or a set of outcomes of a random experiment to which…

Q: In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a…

A: Percentage of students offered English is 30%. Percentage of students offered Hindi is 20%.…

Q: This Venn diagram shows sports played by 10 students. PLAYS PLAYS BASKETBALL SOCCER Jada Ella Fran…

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Q: Let A, B be events with P(A) = .60,  P(B) = .20, and P(A and B) = .10.  Find P(A|B)

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Q: When tossing 4 coins, if an event represents the appearance of at most 3 pictures, then 4 is: HHHH (…

A: We know,  Probability = Favorable outcomes /total outcomes  For flip of 4 coins Total possible…

Q: Use Venn diagrams to verify that(a) (A ∪ B)∪ C is the same event as A ∪(B ∪ C);(b) A ∩(B ∪ C) is the…

A: Consider event (i.) as (A ∪ B)∪ C and event (ii.) as A ∪(B ∪ C)

Q: A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at…

A: Given: The number of red balls is 10. The number of blue balls is 10. The total number of balls in…

Q: Given P(A) = 0.37, P(B) = 0.53, P(C) = 0.60 and that events A, B, and C are independent, what is…

A: We have to find probability for independent event.

Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

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Q: For three events A, B, and C, we know that • A and C are independent, • B and C are independent, • A…

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Q: The complement of event B would be found O in A' and B O in A and B O Inside B O Outside B

A: In this case, we need to find the correct answer for given statement.

Q: If A and B are events with P(A)=0.4, P(A or B)=0.53, and P(A and B)=0.07, find P(B)

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Q: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…

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Q: Given  P(A) = 0.6 and   P(B) = 0.2,  do the following. (For each answer, enter a number.) (a)  If…

A: It is known that P(A) = 0.6 and P(B) = 0.2. Here, it is mentioned that A and B are independent…

Q: b. In a survey of 200 college students, it was found that; 120 study mathematics, 70 study…

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Q: If A, B and C are any three events, then P(AUBOC) is equal to what?

A: Since, there three kings of events. There, A, B, and C are any three events.

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

A: Mutually exclusive events: The two events A and B are mutually exclusive events, then probability P…

Q: Given P(A) = 0.03, P(B) = 0.42, and P(A or B) = 0.11, are events A and B mutually exclusive?

A: Given: P(A) = 0.03 P(B) = 0.42 P(A or B) = 0.11 Objective of the question is to find if A and B are…

Q: Given the following information, determine whether events B and C are independent, mutually…

A: Concept: Two events are said to be mutually exclusive or disjoint if both the events cannot occur at…

Q: Consider 3 events as illustrated in the following Venn diagram. A1 A2 0.02 0.05 0.03 0.20 0.06 0.09…

A: Solution

Q: Given P(A) = 0.8 and P(B) = 0.4, do the following. (For each answer, enter a number.) (a) If A and…

A: Given : P(A) = 0.8 P(B) = 0.4 a) A and B are independent events. P(A∩B) = P(A)×P(B) P(A∩B) = 0.8×0.4…

Q: Given P(A) = 0.59, P(B) = 0.51, P(C) = 0.09 and that events A, B, and C are independent, what is…

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Q: Given P(A) = 0.4 and P(B) = 0.6, do the following. (For each answer, enter a number.) (a) If A and…

A: The given probabilities are  P(A)=0.4 and,P(B)=0.6

Q: If A, B, and C are three events, prove that P(ANBOC) >1– P(A)– P(B)– P(C)

A: There are three events A,B and C. So, From De Morgan's law, P(A ∪ B ∪C) = P(A∩B∩C)⇒P(A ∪ B ∪C) = 1 -…

Q: Given P(A) = 0.6 and P(B) = 0.8, do the following.   (a) If A and B are independent events,…

A: Given P(A) = 0.6 and P(B) = 0.8, do the following.       (a) If A and B are independent events,…

Q: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

Q: he executives in a company are four women and three men. Three are to be chosen at random to attend…

A: Comments: As per our guidelines we are supposed to answer only three subparts. Kindly repost other…

Q: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

Q: Consider 3 events as illustrated in the following Venn diagram. S A1 A2 0.02 0.05 0.03 0.20 0.06…

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Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?

Q: Given P(A) = 0.14, P(B) = 0.55, and P(A or B) = 0.69, are events A and B mutually exclusive?

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Q: Suppose you have five quizzes in a course, and you classify the level of difficulty of each quizas…

A: Given Information: Number of quizzes in a course = 5  Levels of difficulty = 3 (low , medium , high)

Q: Given P(A) = 0.22, P(B) = 0.60, and P(A or B) = 0.82, are events A and B mutually exclusive?

A: Two events A and B are said to be mutually exclusive, if P(A and B) = 0.

Q: Iftwo events, A and B, are such that P(A) =.5, P(B) = .3, and P(A N B) =.1, find the following: a.…

A: It is given that, P(A) =0.5  P(B) =0.3 P(A∩B) =0.1

Q: Given P(A) = 0.20, P(B) = 0.30, and P(A or B) = 0.50, are events A and B mutually exclusive?

A: Solution: Mutually exclusive events: Two events A and B are said to be mutually exclusive when the…

Q: Given P(A) = 0.6 and P(B) = 0.8, do the following. (a) If A and B are independent events, compute…

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Q: Given  P(A) = 0.2 and  P(B) = 0.4, do the following. (a) If A and B are independent events, compute…

A: a. Independent Events: The events A and B are said to be independent, if the result of one of the…

Q: Given P(A) = 0.25, P(B) = 0.38, and P(A or B) = 0.63, are events A and B mutually exclusive?

A: Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and F)=0.…

Q: There are 150 members of the senior class. You survey 25 members of the class randomly and 22 say…

A: It is given that the  There are 150 members of the senior class i.e. N=150 We take a survey of 25…

Q: Given  P(A) = 0.7  and  P(B) = 0.9,  do the following. (a) If A and B are independent events,…

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Q: Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive?

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Q: Given that A and B are two events where P(A) = , P(B) , P(B) = 13. and 3 P(AUB) =7 Find 4 PHANB) (d)…

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Q: Given P(A)=0.37, P(B)=0.38, and P(A or B)=0.27, are events A and B mutually exclusive?

A: If A and B are mutually exclusive then P(A or B) = P(A) + P(B) Here, P(A or B) = 0.27 and P(A) +…

Q: Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of…

A: Intersection of events:The probability that events A and B both occur is the probability of the…

Q: 13. It is given that 1 P (A, + A2) = 6' P (A,42) = P (Ã) = Show that the events Aj and A2 are…

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Q: If the letters L, O, G, I and C are randomly arranged to form a five-letter "word," what is the…

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Q: Given P(A) = 0.34, P(B) = 0.60, P(C) = 0.21 and that events A, B, and C are independent, what is…

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Q: A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider three events A, B, and C. Given- P(A) = 0.3, P(B) = 0.6, P(C) = 0.2, P(A ∩ C) = 0, P(B|C) =…

A: It is given that P(A∩C)=0 and asked to find the value of P(A∩B∩C). P(A∩C)=0 means there is no common…