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The numbers 1, 2, 3, …., 100 are written on 100 cards with one number on each card. The cards are placed in a hat and one card is selected. The sizes and shapes of the cards are such that the probability of selecting the card labelled with the number 'n' is equal to 'n' times the probability of selecting the card labelled 1. What is the probability that the card labelled 50 is selected?
  • a)
    1/50
  • b)
    1/88
  • c)
    1/101
  • d)
    2/127
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The numbers 1, 2, 3, …., 100 are written on 100 cards with one ...
4, 5, 6, 7, 8, 9, and 10.
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The following table represents the records in the last 5 series and fitness statistics of 11 Indian Cricket Team players A to K.The Speed, Strength and Agility are measured in certain indices, and the values mentioned are out of a 0 to 100 scale. The Fitness Index is calculated as followsFitness Index = 0.4 x Speed + 0.3 x Strength + 0.3 x AgilityThe following table represents the records in the last IPL season and the fitness index for 8 players, P to W, who have played in the IPL but are yet to debut for the Indian Cricket Team.Based on the information, given above, answer the questions that follow.Q. For the upcoming series vs England, the Squad Selection Committee selects players and assigns them jersey numbers in the following way:First, it starts with the players who have already played for India. The players are ranked as per their Fitness Index ( highest fitness index is ranked 1). Then the first players selection process starts, he must meet at least one of the below three criteria: 1) His batting average must be among top 6 batting averages of all players who have played for India 2) The number of wickets taken by him should be among the top 3 of all players who have played for India. 3) His number of catches/runouts should be the highest among all players who have played for India. If a player is selected, he is assigned a jersey number 1. Similarly, it continues for other players, and the nth player to be selected is given a jersey number n.After the selection round of A to K is done, the selection of P to W begins. The players are ranked as per their Fitness Index ( highest fitness index is ranked 1). Then the first players selection process starts, he must meet at least one of the below two criteria: 1) His total runs scored must be among top 4 runs scored of all players from P to W 2) The number of wickets taken by him should be among the top 3 of all players from P to W. If after meeting all these criteria, he is selected, he is assigned a jersey number which immediately succeeds the last jersey number from A to K. So, if K is the last person to be picked from A to K, and he is assigned a jersey number of 8, the first one from to be selected from P to W is given a jersey number 9. Also, players successively selected are given successive jersey numbers.If the rank of 2 players based on their Fitness Index is the same, we rank them in alphabetical order of their names, that is if both A and D have the 4th rank A is ranked 4 and D is ranked 5.How many players are selected into the squad for the upcoming series?

The following table represents the records in the last 5 series and fitness statistics of 11 Indian Cricket Team players A to K.The Speed, Strength and Agility are measured in certain indices, and the values mentioned are out of a 0 to 100 scale. The Fitness Index is calculated as followsFitness Index = 0.4 x Speed + 0.3 x Strength + 0.3 x AgilityThe following table represents the records in the last IPL season and the fitness index for 8 players, P to W, who have played in the IPL but are yet to debut for the Indian Cricket Team.Based on the information, given above, answer the questions that follow.Q. For the upcoming series vs England, the Squad Selection Committee selects players and assigns them jersey numbers in the following way:First, it starts with the players who have already played for India. The players are ranked as per their Fitness Index ( highest fitness index is ranked 1). Then the first players selection process starts, he must meet at least one of the below three criteria: 1) His batting average must be among top 6 batting averages of all players who have played for India 2) The number of wickets taken by him should be among the top 3 of all players who have played for India. 3) His number of catches/runouts should be the highest among all players who have played for India. If a player is selected, he is assigned a jersey number 1. Similarly, it continues for other players, and the nth player to be selected is given a jersey number n.After the selection round of A to K is done, the selection of P to W begins. The players are ranked as per their Fitness Index ( highest fitness index is ranked 1). Then the first players selection process starts, he must meet at least one of the below two criteria: 1) His total runs scored must be among top 4 runs scored of all players from P to W 2) The number of wickets taken by him should be among the top 3 of all players from P to W. If after meeting all these criteria, he is selected, he is assigned a jersey number which immediately succeeds the last jersey number from A to K. So, if K is the last person to be picked from A to K, and he is assigned a jersey number of 8, the first one from to be selected from P to W is given a jersey number 9. Also, players successively selected are given successive jersey numbers.If the rank of 2 players based on their Fitness Index is the same, we rank them in alphabetical order of their names, that is if both A and D have the 4th rank A is ranked 4 and D is ranked 5.What is the Jersey Number of P?

The numbers 1, 2, 3, …., 100 are written on 100 cards with one number on each card. The cards are placed in a hat and one card is selected. The sizes and shapes of the cards are such that the probability of selecting the card labelled with the number n is equal to n times the probability of selecting the card labelled 1. What is the probability that the card labelled 50 is selected?a)1/50b)1/88c)1/101d)2/127Correct answer is option 'C'. Can you explain this answer?
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The numbers 1, 2, 3, …., 100 are written on 100 cards with one number on each card. The cards are placed in a hat and one card is selected. The sizes and shapes of the cards are such that the probability of selecting the card labelled with the number n is equal to n times the probability of selecting the card labelled 1. What is the probability that the card labelled 50 is selected?a)1/50b)1/88c)1/101d)2/127Correct answer is option 'C'. 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 The numbers 1, 2, 3, …., 100 are written on 100 cards with one number on each card. The cards are placed in a hat and one card is selected. The sizes and shapes of the cards are such that the probability of selecting the card labelled with the number n is equal to n times the probability of selecting the card labelled 1. What is the probability that the card labelled 50 is selected?a)1/50b)1/88c)1/101d)2/127Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numbers 1, 2, 3, …., 100 are written on 100 cards with one number on each card. The cards are placed in a hat and one card is selected. The sizes and shapes of the cards are such that the probability of selecting the card labelled with the number n is equal to n times the probability of selecting the card labelled 1. What is the probability that the card labelled 50 is selected?a)1/50b)1/88c)1/101d)2/127Correct answer is option 'C'. Can you explain this answer?.
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