Question 1
0.2
0.1
1
0.3
Statistics for Data Science I Quiz 2: 3 August 2025 (May 2025 term)
The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term: 15 questions for 40 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 15
- 40
- 120 min
- 5
- 9
- 1
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Correct answer
0.1
Question 2
A survey of 800 students shows that 65% like reading and 50% like painting. If each student likes at least one of the two activities, how many students like painting but not reading?
240
400
280
120
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Correct answer
280
Question 3
How many numbers greater than 10,000 can be formed using the digits 0, 2, 5, 4, 6, 8 without repetition?
600
120
240
1200
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Correct answer
1200
Question 4
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.
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Correct answer: 0.014 (accepted within ±0.003)
Question 5
A company has 15 offices and wants to set up two-way communication between every pair of offices. However, the 3 smallest offices will not have direct communication with one another, though each of them can still connect directly with the remaining offices. How many
communication channels are needed in total?
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Correct answer: 102
Question 6
A group of 4 teachers and 4 students is to be seated around a circular table for a discussion. They decide that all students must sit together. Find the number of ways they can be seated around the table such that all students are sitting together.
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Correct answer: 576
Question 7
A basket contains 5 red balls and 4 green balls. If 3 balls are to be selected at random without replacement, in how many ways can the balls be selected such that at least one green ball is included?
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Correct answer: 74
Question 8
How many 5-digit numbers can be formed using the digits 0, 2, 3, 4, and 7 where digits may be repeated such that the number is divisible by 2 ?
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Correct answer: 1500
Question 9
A box C contains 3 white balls and 2 black balls, while box D contains 4 white balls and 3 black balls. One ball is randomly selected from box C and transferred to box D. After the transfer, one ball is drawn at random from box D. What is the probability that the ball drawn from box D is black? Enter the answer correct to three decimal places.
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Correct answer: 0.425 (accepted within ±0.003)
Question 10
In how many different ways can the letters of the word ‘ARTICLE’ be arranged such that all the vowels always come together?
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Correct answer: 720
Question 11
A committee of 3 people is to be formed from a group of n people. The number of possible committees in which two particular people A and B are both included together is 7. Find the number of ways in which committee can be formed.
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Correct answer: 84
Question 12
Based on the above data, answer the given subquestions.
What is the probability that exactly 2 gold and 1 silver coin are drawn in the first draw?
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Correct answer
Question 13
Based on the above data, answer the given subquestions.
Given that the first draw results in 2 gold coins and 1 silver coin, what is the probability that the second draw results in exactly 2 silver coins and at least 1 gold coin?
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Correct answer
Question 14
Based on the above data, answer the given subquestions.
Which of the following option(s) is / are correct?
Events E1 and E2 are mutually exclusive.
Events E1 and E2 are independent.
There is only 1 favorable outcome for event E2.
All of these
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Correct answers
Events E1 and E2 are mutually exclusive.
There is only 1 favorable outcome for event E2.
Question 15
Based on the above data, answer the given subquestions.
How many panels include at least one Mathematics student?
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Correct answer: 19