Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

There are 5 duplicate and 10 of original items in an automobile shop and 3 items are bought at random by a customer. The probability that none of the items is duplicate is:

Options:

20/91

22/91

24/91

89/91

Correct Answer:

24/91

Explanation:

P (none is duplicate) = $\frac{{^{10}C}_3}{{^{15}C}_3}=\frac{10×9×8}{15×14×13}=\frac{24}{91}$