The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 16 questions for 42 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.
There are two stores, and , which sell t-shirts on the market. The store has stock of red and 2 black t-shirts and the store has a stock of 2 red and black t-shirts. One of the stores is selected at random and two t-shirts are purchased without replacement from that store. Given that both the t-shirts purchased are red, the probability that they were purchased from store is
, find the value of .
A written answer, not marked automatically.
Three independent draws are made from a standard deck of 52 playing cards, with replacement and reshuffling between each draw. Which of the following statements is/are correct?
The probability that the first card drawn is the King of Hearts is .
The probability that both the first and second cards drawn are red is
The probability that the third card drawn is the Ace of Spades is .
The events "the first card drawn is a Queen" and "the second card drawn is a Queen" are independent events.
Correct answers
The probability that the first card drawn is the King of Hearts is .
The events "the first card drawn is a Queen" and "the second card drawn is a Queen" are independent events.
Which of the following statements is(are) true?
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Correct answers
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A person won a special pass to an amusement park that allows him to bring 4 friends with him for free. He has 8 friends, but two of them are twins who will only attend if both are included. How many different groups of 4 friends can the person choose to take along?
A written answer, not marked automatically.
Nine friends are to be seated around a round table. Among them, Amit and Rohit insist on sitting next to each other. In how many ways can the friends be seated around a circular table?
A written answer, not marked automatically.
If find the value of .
A written answer, not marked automatically.
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Correct answers
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Amit wants to create a 4-digit numerical PIN for his ATM card. In how many ways can he create a 4-digit number between 5000 and 9000 using the digits 1, 3, 5, 6, 8, 9, if repetition of digits is allowed?
A written answer, not marked automatically.
How many 5’s are there between 1 and 1000?
271
300
299
301
Correct answer
300
From a group of 5 students, a team of 3 students is to be selected. From this selected team, one student is chosen as the leader. In how many different ways can this be done?
15
20
30
60
Correct answer
30
A committee of 3 students is to be formed from a class of 7 boys and 5 girls. Based on the given information, answer the given sub-questions.
In how many ways can a committee be formed if at least one girl must be included?
140
165
185
220
Correct answer
185
A committee of 3 students is to be formed from a class of 7 boys and 5 girls. Based on the given information, answer the given sub-questions.
Find the probability that it contains exactly one girl, given that it contains at least one boy.
Correct answer
Based on the above data, answer the given sub-questions.
Assuming , find the value of . Enter the answer correct to two decimal places.
A written answer, not marked automatically.
Based on the above data, answer the given sub-questions.
Find the value of . Enter the answer correct to two decimal places.
A written answer, not marked automatically.
A committee of 3 students is to be formed from a class of 7 boys and 5 girls. Based on the given information, answer the given sub-questions.
A written answer, not marked automatically.
Based on the above data, answer the given sub-questions.
A written answer, not marked automatically.
