The area where events A and B overlap is O A and B O A and B' O A' and B' O A or B

Q: The target in figure shows four squares, if a dart thrown at random hits the target- what is…

A: From the given information, inside square is 6 in (green) square surrounding that is 9 inches (blue)…

Q: What is the probability that when coin is flipped eight times in a row, it lands head up everytime?

A: Given:  A coin is tossed 8 times  in a row  Probability of head =1/2  Then probability that it comes…

Q: The word AND creates a new event out of two events A and B. The new event consists of only those…

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Q: The statement "Two events are mutually exclusive if they cannot both occur", is correct?

A: The statement is "Two events are mutually exclusive if they cannot both occur".

Q: Do males or females feel more tense or stressed out at work? A survey of employed adults conducted…

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Q: It is a collection of simple events. Answer must be in small letters.

A: It is a collection of simple events.

Q: An event A will occur with probability 0.5. An event B will occur with probability 0.6. The…

A: Given Data: P(A)=0.5 P(B)=0.6   Using probability rule P(A or B)=P(A)+P(B)-)P(A and B) P(A or…

Q: Q5. Suppose two fair dice are rolled. Express the event "getting a total of 11" using of 'AND's &…

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Q: Which

A: Simple events are those events which are mostly independent events.

Q: 8. Three students, Esther, Jean and Ruth are in a race. Esther is twice as likely to win as Jean,…

A: Given information Let E=Esther, J=Jean win, R=Ruth win  E=2×J, J=3×R  Note:  According to Bartleby…

Q: Suppose we draw 2 cards from a deck of 52 cards. Let A be the event “the first card is an ace” and B…

A: A is the event : first card is an ace B is the event : second card is a spade. Two events A and B…

Q: Pavan

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Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: If eiª – e-iº =k, which of the following is sin 0? A. ki B. 2ki C. D. none of the above

A: sinθ=eiθ-e-iθ2isinθ=k2i       =k2i×ii     =ki2i2     =-ki2

Q: A standard six-sided die shows a number,1,2,3,4,5 or 6 on each of its sides. You roll the die once.…

A: From the given information, one dice is rolled and the dice shows the numbers 1, 2, 3, 4, 5 and 6.…

Q: The word OR creates A new event out of two events A and B. The new event consist of A. only those…

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Q: 6. In a class, there are 21 boys and 15 girls. Three boys wear glasses and five girls wear glasses.…

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Q: 4. A motorcycle license plate has 2 letters and 3 numbers. The probability that a motorcycle has a…

A: Event 1: Double letter Event 2: an even number

Q: 8. Urn A has four red, three blue, and two green balls. Urn B has two red, three blue, and four…

A: Conditional probability is calculated for the event of which other event is already occurred. In the…

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: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

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Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: An urn contains 5 red and 10 black balls. We draw two balls from the urn without replacement. What…

A: We are given,5 red balls and 10 black balls.We have to find probability that the second ball drawn…

Q: Are these events mutually exclusive (E) or mutually inclusive (1)? Blank 1 1. Rolling an even and an…

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Q: Two dice are rolled. What is the probability that the sum of the dice is larger than 8, given that…

A: Two dice are rolled, The sample space for the sum of the numbers showing up on the two dice is…

Q: It is presentation day in class and your instructor is drawing names from a hat to determine the…

A: 19 students in a class.  P(first three presentation is done by Mila,Todd and Kelly in that order) =?…

Q: Suppose we draw two tickets from a hat that contains tickets numbered 1, 2, 3, 4. Let X be the first…

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Q: Draw a Venn diagram to illustrate the union of two events, A and B, where A and B are mutually…

A: Mutually exclusive events [MEE]:   Let A and B be an two events, they are said to be mutually…

Q: Determine whether the events of rolling a fair die two times are​ disjoint, independent,​ both, or…

A: According to the given information in this question, we need to identify the correct option

Q: 8. If A is any event in Q, what is P(A U Q)? * A. P(A) B. P(A) O C. 1 OD. O

A: It is given that  A is an event  And Ω is sample space.

Q: If S = { 1, 2, 3, 4, …….., 100} A = { 2, 4, 6, 8, ………. ,98, 100}            B = { 1, 3, 5, 7, 9,…

A: From the provided information, S = {1, 2, 3, 4, ……., 100} A = {2, 4, 6, 8, ….., 98, 100} B = { 1, 3,…

Q: 8. Let P(A) = .35 and P(E)= .44. Also, events A and E are: mutually exclusive. Find a. P(ANE)…

A: Answer: From the given data, P(A) = 0.35 P(E) = 0.44 Events A and E are mutually exclusive

Q: 2. A hallway has 8 offices on one side and 5 offices on the other side. A worker randomly starts in…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: 1. Which of the following refers to an event with only one outcome? A. Complex Event B. Simple Event…

A: B. Simple EventExplanation:An event with only one outcome is known as a simple event or elementary…

Q: Two fair dice are rolled. Event A = {the sum on the two dice is less than seven} Event B = {the two…

A: GivenTwo fair dice are rolledthe possible outcomes…

Q: 1. Roll a die twice. Consider the following events. E1: Roll three dots first. E2: Roll one dot…

A: Ans - Given, Rolling a dice twice  then                    Sample space (S) = {(1,1), (1,2), (1,3),…