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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?

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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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.