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In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options.
(1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1
(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4
(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1
(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1
  • a)
    1, 3, 4
  • b)
    2, 3, 4
  • c)
    1, 3
  • d)
    1, 2, 3
  • e)
    1, 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a pizza stall, Ajay and Mohan, being the lucky customers, were giv...
P(A) = Probability that Ajay gets a knife throwing ticket = Ajay gets in 1st draw + Ajay and Mohan don't get in 1st and 2nd draw x Ajay gets in 3rd draw + ...
Ajay getting in 1st draw = x/(x+y)
Ajay and Mohan not getting in 1st 2 draws = [y/(x+y)]2 so P(A) = x/(x+y) + [y/(x+y)]2 * [x/(x+y)] + [y/(x+y)]4 * [x/(x+y)] + ..
= (x/(x+y)) / (1-[y/(x+y)]2) = (x+y)/(x+2y)
Following similar approach for Mohan,
P(M) = (y/(x+y)) * (x/(x+y)) + [y/(x+y)]3 * [x/(x+y)] + [y/(x+y)]5 * [x/(x+y)] + ..
= y/(x+2y)
P(A)/P(M) = (x+y)/y
(a) P(A) = 4P(M) or (x+y)/y = 4 - this gives us x:y = 3:1 . So (a) is correct.
(b) P(A) = 5P(M) or (x+y)/y = 5 - this gives us x:y = 4:1, or y:x = 1:4 . So (b) is correct.
(c) P(A) = 4P(M) or (x+y)/y = 4 - this gives us x:y = 3:1 . So (c) is correct.
(d) P(M) is always less than P(A) from the equation. So. (d) is incorrect.
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In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer?
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In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer?.
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Here you can find the meaning of In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife-throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show back in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options. (1) If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1(2) If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4(3) If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1(4) If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1a) 1, 3, 4b) 2, 3, 4c) 1, 3d) 1, 2, 3e) 1, 2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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