This Venn diagram shows sports played by 10 students. PLAYS PLAYS BASKETBALL SOOCCER Karl lan Mickey hMai Fran Jada Ella Juan Gabby Marcus Let event A = The student plays basketball. Let event B= The student plays soccer. %3D

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: A study was made of 200 students to determine what Disney TV shows they watch. Wizards of Hannah…

A: Note : - As per our policy we can answer only three sub-parts, please make a new requests for other…

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

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Q: (a). How many permutations of the letters in word MASSACHUSETTS have consonants in the first two…

A: b) We have to find the number of ways of selecting a committee of five people

Q: Suppose events A and B are disjoint.  Explain why A ∩ B ′ = A. You may use a Venn diagram. Under…

A: We know that if A and B are disjoint, then there is no common element in A and B.  So, the…

Q: f a hockey team loses 33% of the games they play, what is the probability that this team will win…

A: Given Data: Let X represent the random variable Probability of win=1-Probability of losing…

Q: The table shows the finalist for class president, The order in which they will give their speeches…

A: a) There are total 7 speakers. We can arrange them in 7!= 5040 ways  We can choose Denny, Kelli, and…

Q: Do you know what the message below says? If the 20 marbles used to spell the word are placed in a…

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Q: If A and B are events with P(A)=0.2, P(A OR B)=0.74, and P(A AND B)=0.06, find P(B).

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Q: A bag contains 5 red marbles, 3 blue marbles, 2 green marbles, 1 yellow marble and 1 purple marble.…

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Q: Use the probabilities in the first tree diagram below to find the probability of each branch of the…

A: From the first tree diagram, P(A)=3/7 P(A’)=4/7 P(B,A)= (3/7)*(1/3) P(B’,A)=(3/7)*(2/3)…

Q: and are two events in sample S. Given that 1 and P(A and B)= 6. Find P(A or B) 12 P(A)= „P(B)3= 215…

A: Given P(A) =2/3 P(B) =1/6 P(A and B) =1/12 Find P(A Or B) =?

Q: The Venn diagram below shows the 9 students in Mr. Howard's class. The diagram shows the memberships…

A: Given: N = 9

Q: A bag contains 5 (R)ed marbles, 10 (B)lue, and 7 (P)urple marbles. Find the Following: a. The…

A: a)GivenTotal number of Red marbles = 5Total number of Blue marbles = 10Total number of Purple…

Q: f a card is drawn from an ordinary deck, find the probability of drawing a. A diamond “D” or a…

A: It is known that, Number of cards in a deck = 52 Number of diamond = 13 Number of clover = 13 Number…

Q: One die is rolled. Let A = event the die comes up even %3D B = event the die comes up odd C = event…

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Q: If A, B and C are mutually exclusive and exhaustive events, find P(B) if P(A) = P(B).

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Q: Not all numbers will be used. Erica spins a spinner with equal sections numbered 1 through 4 and…

A: Here, Probability of spinning a 2 and drawing blue is obtained as- Pspinning 2 and drawing…

Q: 4. The grade 8s go to a barbecue at the end of the year. They have the following options to select…

A: Given: The options for meal are hamburger or hotdog, cole slow or macaroni salad, and juice or water…

Q: L The word "Fair" means that each face of a coin has an equal chance of coming up and that the…

A: We have given the following information about the  fair coin.

Q: 7. One letter is taken from each of the words PARALLEL and LEVEL at random. What is the probability…

A: There are 2 letters common in both the words (E and L). Since there are 8 letters in word PARALLEL…

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Show that the multiplication law P(A~B) P(A/B) P(B), established for two events, may be generalized…

A: We have, P(A|B) =P( A∩ B) / P(B)    .....(1) According to multiplication rule, P( A∩ B)= P(…

Q: Suppose that for events A, B, we have: P(A) = 1/6 , P(B) = 5/12 , P(A|B) + P(B|A) = 7/10. What is P(…

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Q: In a class of 100 students, 30 likes basketball, 30 likes volleyball, 30 likes soccer, 16 likes…

A: In total there are 100 students. 30 of the students play basketball out of which 16 like basketfall…

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

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: Assume you are given a five-question multiple-choice quiz.  Each question has 5 possible answers:…

A: it is given that , There are 5 multiple choice questions and each question has 5 choices that is…

Q: In class, 30% of students study Hindi, 45% study Maths, and 15% study both Hindi and Maths. If a…

A: From the provided information, 30% of students study Hindi that is P (A) = 0.30 45% study Maths that…

Q: The Venn diagram below shows the 14 students in Mr. Washington's class. The diagram shows the…

A: There are total (1+6+2+5)=14 students in the diagram.Among them n(A)=6, n(B)=5, n(A and B)=2So…

Q: When a coin is tossed two times, the possible outcomes are HH, HT,  TH,  TT where "H'' represents…

A: Given:  A coin tossed two times than sample space  S = { HH , HT , TH , TT } And even A = at least…

Q: We will define the following events A: Individual lives in Location 1 B: Individual lives in…

A: Here, A intersect B  implies that the set of individuals who lives in both location 1 and location…

Q: American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets.…

A: P(E) = n(E)/n(S)   Note: kindly note that we are only allowed to answer three parts as per bartleby…

Q: in a game the player who an if he rolls a 4 on a number cube. if the number cube is rolled 24 times,…

A: Assuming that this is a regular six sided die, then the reason prediction for the number of…

Q: Given the following Venn diagram, create a dependent situation and label each of events as they…

A: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation to represent…

Q: A subset of outcomes is defined as a(n): Select one: a. Event b. Outcome c. Sample d. Probability

A: A sample space of an experiment is the set of all possible outcomes and an event associated with a…

Q: 3. Javon asked 20 students whet diagram below. One number Cat owners What Is the prooablity that a…

A: We have to find given probability from graph ..

Q: 12) Determine whether the events are disjoint. Read a book by Mark Twain, Read about Tom Sawyer. A)…

A: Two events are said to be disjoint events, if they cannot occur together at the same time. The…

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

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: In class, 30% of students study Hindi, 45% study Maths, and 15% study both Hindi and Maths. If a…

A: Obtain the probability that he/she study neither Math nor Hindi subjects. The probability that…

Q: The set S = {a, b, c, d} is the sample space for an experiment. Find the probability that outcome c…

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Q: K Apoll of 200 students at a university reveals that 73 are taking a lab science course, and 46 are…

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Q: In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times,…

A: Given data: The given number cube. The probability of success or getting a six is, P6=16 The…

Q: Suppose you write each letter of the word serendipity on a different slip of paper and put the slips…

A: There are total 7 consonants and 4 vowels in the word serendipity Total (7+4)=11 letters

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: Show that the multiplication law P(A B) = P(A/B) P(B), established for two events, may be…

A: Given data: The given expression to prove is P(A∩B∩C)=P(A/B∩C) P(B/C)P(C). The given expression for…

Q: The given figure illustrates a spinner. It is equally probable that the pointer will land on any one…

A: Given: A spinner with 8 regions. Number of even regions on the spinner: {2, 4, 6, 8} = 4 Probability…

Q: Given P(A) = 0.2, P(B) = 0.6 and P(A and B) = 0.08. Explain how you know events A and B cannot be…

A: Given that, A and B are two events.  PA=0.2PB=0.6PA and B =0.08 Mutually Exclusive events : Two…

Q: First year university students were asked if they take any of the three courses listed in the Venn…

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