Quiz Space

Statistics for Data Science I · Quiz 2 · 3 Aug 2025 · May 2025 term

Question 4: In a quiz competition, eight students are competing, each…

Question 4

+2 marksNumerical answer

In a quiz competition, eight students are competing, each assigned a roll number from 1 to 8. What is the probability that only students with prime-numbered roll numbers (i.e., 2, 3, 5, 7) secure the top four ranks, in any order? Enter the answer correct to three decimal places.

Show answer

Correct answer: 0.014 (accepted within ±0.003)

See the whole paperTake it as a mock test

Question 4 of 15 in the IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term (IIT M DIPLOMA AN EXAM QDD2 03 Aug 2025). It carries 2 marks.

More questions from this paper

  1. Q1Figure question
  2. Q2A survey of 800 students shows that 65% like reading and 50% like painting. If each student likes at least one of the t…
  3. Q3How many numbers greater than 10,000 can be formed using the digits 0, 2, 5, 4, 6, 8 without repetition?
  4. Q5A company has 15 offices and wants to set up two-way communication between every pair of offices. However, the 3 smalle…
  5. Q6A group of 4 teachers and 4 students is to be seated around a circular table for a discussion. They decide that all stu…
  6. Q7A basket contains 5 red balls and 4 green balls. If 3 balls are to be selected at random without replacement, in how ma…
  7. Q8How many 5-digit numbers can be formed using the digits 0, 2, 3, 4, and 7 where digits may be repeated such that the nu…
  8. Q9A box C contains 3 white balls and 2 black balls, while box D contains 4 white balls and 3 black balls. One ball is ran…
  9. Q10In how many different ways can the letters of the word ‘ARTICLE’ be arranged such that all the vowels always come toget…
  10. Q11A committee of 3 people is to be formed from a group of n people. The number of possible committees in which two partic…
  11. Q12What is the probability that exactly 2 gold and 1 silver coin are drawn in the first draw?
  12. Q13Given that the first draw results in 2 gold coins and 1 silver coin, what is the probability that the second draw resul…
  13. Q14Which of the following option(s) is / are correct?
  14. Q15How many panels include at least one Mathematics student?