Long answer·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

In a group of 5050 students, 2828 study Hindi, 1818 study French, and 1010 study both.
Total: 5 marks

(a) Find the number of students studying at least one of the two languages. (2 marks)

(b) Find the probability that a randomly selected student studies neither language. (2 marks)

(c) Find the probability that a randomly selected student studies exactly one of the two languages. (1 mark)

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cbse-math-11.u5.t5-4.laq.004

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