Quiz Space

Statistics for Data Science I · Quiz 2 · 23 Nov 2025 · September 2025 term

Question 15: There are two boxes, C and D, containing pens.\ Box C ha…

Question 15

+2 marksNumerical answer

There are two boxes, C and D, containing pens.
• Box C has a stock of 6 green pens and 3 black pens.
• Box D has a stock of 3 green pens and 6 black pens.
One of the two boxes is chosen at random, with both boxes having an equal chance of being selected. Then, one pen is drawn at random from the selected box. Based on the given information, answer the subquestions.

Given that the pen drawn is green, find the probability that it came from box C. Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.67 (accepted within ±0.03)

See the whole paperTake it as a mock test

Question 15 of 15 in the IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 23 Nov 2025, in the September 2025 term (IIT M DEGREE AN EXAM QDB2 23 Nov 2025 NEW). It carries 2 marks.

More questions from this paper

  1. Q1A bookshelf has 5 different books consisting of 2 novels and 3 textbooks. In how many ways can the books be arranged on…
  2. Q2A school wants to create unique student codes of the form “AB3”,\ The first two positions are distinct capital letters …
  3. Q3Figure question
  4. Q4Figure question
  5. Q5Figure question
  6. Q6The probability that a person likes tea is 0.6 and a person likes coffee is 0.5. Assume that liking tea and liking coff…
  7. Q7Figure question
  8. Q8Two teachers, Ankita and Rohit, are forming a project team. Ankita has 2 science students and 1 arts student. Rohit has…
  9. Q9In a class of 100 students, 60 play cricket and 50 play football. If 30 students play both cricket and football, find t…
  10. Q10There are 11 members in a club. Among them, 6 members play Cricket and 5 members play Football, with no member playing …
  11. Q11There are 11 members in a club. Among them, 6 members play Cricket and 5 members play Football, with no member playing …
  12. Q12A library wants to issue 4 books to a student from a collection of n different books. The number of possible selections…
  13. Q13A library wants to issue 4 books to a student from a collection of n different books. The number of possible selections…
  14. Q14There are two boxes, C and D, containing pens.\ Box C has a stock of 6 green pens and 3 black pens.\ Box D has a stock …