Statistics for Data Science I Quiz 2: 23 November 2025 (September 2025 term)

A bookshelf has 5 different books consisting of 2 novels and 3 textbooks. In how many ways can the books be arranged on a shelf so that the two novels are not placed together?

A school wants to create unique student codes of the form “AB3”,
• The first two positions are distinct capital letters and at least one of them is a vowel. • The third position is a digit from 1,2,3,4,5.
Find the total number of unique student codes that can be created.

The probability that a person likes tea is 0.6 and a person likes coffee is 0.5. Assume that liking tea and liking coffee are independent events. Find the probability that a randomly selected person likes exactly one of tea or coffee. Enter the answer correct to one decimal place.

Two teachers, Ankita and Rohit, are forming a project team. Ankita has 2 science students and 1 arts student. Rohit has 1 science student and 2 arts students. They decide to select 4 students in total, with each teacher contributing 2 students, such that the final team has exactly 2 science and 2 arts students. How many ways can they form such a project team?

In a class of 100 students, 60 play cricket and 50 play football. If 30 students play both cricket and football, find the probability that a randomly selected student plays neither cricket nor football. Enter the answer correct to one decimal place.

There are 11 members in a club. Among them, 6 members play Cricket and 5 members play Football, with no member playing both sports. A committee of four members is to be formed. Based on the given information, answer the subquestions.

Which of the following option(s) is/are correct?

There are 11 members in a club. Among them, 6 members play Cricket and 5 members play Football, with no member playing both sports. A committee of four members is to be formed. Based on the given information, answer the subquestions.

Find the number of ways in which the committee can be selected such that at least one member plays Cricket.

A library wants to issue 4 books to a student from a collection of n different books. The number of possible selections that include two particular books is 15. Based on the given information, answer the subquestions.

Find the value of n.

A library wants to issue 4 books to a student from a collection of n different books. The number of possible selections that include two particular books is 15. Based on the given information, answer the subquestions.

Find the total number of ways the library can issue any 4 books from the collection.

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.

Find the probability of getting a green pen. Enter the answer correct to one decimal place.

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.