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In a shoe store, there are 12 highly expensive pair of shoes. One night, thieves break in and steal 4 shoes, not necessarily having a matching pair among them. What is the probability that at least one matching pair of shoes was stolen?
  • a)
    120/161
  • b)
    41/161
  • c)
    144/165
  • d)
    21/165
Correct answer is option 'B'. Can you explain this answer?

Answers

Total number of ways to choose 4 shoes
Total number of ways in which no pair is selected
∴ Probability of not getting a pair
Hence, probability of selecting one pair
Hence the correct option is B.

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In a shoe store, there are 12 highly expensive pair of shoes. One night, thieves break in and steal 4 shoes, not necessarily having a matching pair among them. What is the probability that at least one matching pair of shoes was stolen?a)120/161b)41/161c)144/165d)21/165Correct answer is option 'B'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a shoe store, there are 12 highly expensive pair of shoes. One night, thieves break in and steal 4 shoes, not necessarily having a matching pair among them. What is the probability that at least one matching pair of shoes was stolen?a)120/161b)41/161c)144/165d)21/165Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a shoe store, there are 12 highly expensive pair of shoes. One night, thieves break in and steal 4 shoes, not necessarily having a matching pair among them. What is the probability that at least one matching pair of shoes was stolen?a)120/161b)41/161c)144/165d)21/165Correct answer is option 'B'. Can you explain this answer?.
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Total number of ways to choose 4 shoesTotal number of ways in which no pair is selected∴ Probability of not getting a pairHence, probability of selecting one pairHence the correct option is B.