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Q: of the others. 5) We throw a fair six-sided die 7 times. The sides of the die are 1,2,3,4,5 and 6.…
A: We throw a fair six-sided die 7 times. The sides of the die are 1,2,3,4,5 and 6.
Q: 1. Define ‘Conditional Probability’ with a suitable example.
A: Conditional Probability is a measure of the probability of an event occurring, given that another…
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".
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A: Given,A family has 4 childern. than the possible out comes are 16 (24=16). b=boyg=girlP(g)=12P(b)=12
Q: Events A and B are consistent and their probabilities are not equal to zero. Which statement is…
A: Two events are said to be consistent if, P(A∩B) < P(A) and P(A∩B) < P(B) P(A∪B) > P(A) and…
Q: 2. A university computing cluster has 180 terminals. Each terminal is either working or broken. Each…
A: Given that in a university computing cluster has 180 terminals. Pbreak/working terminal=15…
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A: Hi, you have posted the multiple question. So, as per the guidelines i am providing you the solution…
Q: You are going to choose a number randomly from the set {1, 2, 3, ... 23, 24}. What is the…
A: Let us define some events A : a number is divisible by 4 B : a number is multiple of 5 The possible…
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Q: A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.If…
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Q: From bag A having 2 Red, 1 Black balls and from bag B having 3 Red, 2 Black balls, 1 ball each is…
A: From given data we have : Bag A has 2 red and 1 black balls. Bag B has 3 red and 2 black balls.
Q: 4. Given the three events A. B. andC, what is the probability of their intersection AN BOC (ie.…
A: Basic probability
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A: We are given that 2 dice are rolled, and their up faces are noted. Now, we need to find the…
Q: If A, B are mutually exclusive events, then the probability that A does NOT occur given that B…
A: if A and B are mutually exclusive events then A∩B=∅ i.e. P( A∩B)=0 let A¯ is complement of A. now,…
Q: Assume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result…
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Q: If 4 married couples and 2 unmarried persons are arranged in a row, find the probability that no…
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A: Given information:- Let A and B be two independent events where the probability of success for the…
Q: If only one of two or more events can occur they are considered non-mutually exclusive. Select…
A: We have given that If only one of two or more events can occur they are considered non-mutually…
Q: Show Venn diagram depicting two events A and B that are not disjoint. Shade in the portion of this…
A: A and B'. This also means that A is only happening.Explanation:Disjoint events means they have no…
Q: S={ 2 ,3 ,4,5,11 ,12 ,13 , 14 , 15, 16 , 17 , 19 , 21 , 23 , 25 , 27 } If we select a number from S…
A: The sum of the digits of each number is: 2→2 (prime)3→3 (prime)4→45→5 (prime)11→2 (prime)12→3…
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Q: u select a family with three children. If M represents a male child and F a female child, the set of…
A: Given Sample Space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
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Q: What is the probility of no tails if two fair coins are tossed?
A: If Two fair coin is tossed Sample space is given by S = {(H,H),(H,T),(T,T),(T,H)} N(s) = 4 No of…
Q: There are a total of 22 people in an application pool, that are equally qualified for a job. The…
A: It is given that 22 people applied for 3 job openings. Where, People States 10…
Q: You have a bag containing 5 full sets of the alphabet. What is the probability of getting 3 of the…
A: We have a total number of letter B in the bag = 5 Total number of letters in bag = 130 The required…
Q: A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability…
A: Total number of cards=52Number of face cards=12Number of non-face cards=40
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Q: Q4: A box contains 10 white and 5 read balls a second box contains 20 white, 20 black balls. We…
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Q: B. A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with return, what…
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Q: What is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is…
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- Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: there are no balls of the same colour either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.a 82. A speaks the truth two out of three times and B four times out of 5 times. They agree in tie assertion that from a bag containing 6 balls of different colours a red ball is drawn. Find the probability that the statement is true.Suppose there are 200 students in a classroom. And they can be classified as Blacks and Whites as well as some have white hair and some have black hair. Black white White hair 70 30 Black hair 25 75 What is the probability that a person selected at random will be a white person with black hair? What is the probability when A=white with black hair and b white with white hair? What is P (A union B)
- A bag contains 5 red balls and 3 white balls. If 3 balls are drawn with replacement from the bag, what are the probabilities that. a. 2 balls will be red? b. a least 2 balls will be red?Solve step by step please In a bag there are 12 purple marbles and 8 red ones are drawn at random and left out immediately another marble is drawn a) If the second marble turns out to be purple, what is the probability that the first marble turned out to be red?b) Find the probability that both marbles are the same color.104. Two sets of candidates are competing for the positions on the Board of Directors of a company. The probabilities that the first and the second sets will win are O-6 and 0-4 respectively. If the first set wins, the probability of introducing a new product is 0-8 and corresponding probability if the second set wins is 0-3. What is the probability that the product will be introduced ?
- None60. A husband and a wife appear in an interview for two vacancies in the same post. ne probability of husband's selection is 1. and that of wife's selection is What is the probability that: (a) both of them will be selected; (b) only one of them will be selected; (c) none of them will be selected ?A letter is picked from the sentence "JAMES LOVES EXAMS" by first choosing a word at random and then picking a letter from the chosen word. Let, J stand for the event " the word James is picked" H stand for the event " the letter "E" is picked" Then J and H are not independent but mutually exclusive J and H are independent and mutually exclusive J and H are neither independent nor mutually exclusive J and H are independent but not mutually exclusive