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Probability — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

In the set-theoretic description of probability, an event is
  1. a subset of the sample space ✓
  2. only one outcome of the experiment
  3. the list of all experiments
  4. a number greater than one
Answer: A. Every event E associated with sample space S is represented by a subset E ⊆ S.
Why not B: A one-outcome subset is a simple event, but events may contain many outcomes.
Why not C: The sample space lists possible outcomes of one experiment; an event selects some of those outcomes.
Why not D: A probability is a number in [0,1], whereas an event itself is a set.
A fair coin is tossed twice. What is the probability of getting exactly one head?
  1. 1/4
  2. 3/4
  3. 1/2 ✓
  4. 1
Answer: C. Among HH, HT, TH and TT, the favourable outcomes are HT and TH, so the probability is 2/4 = 1/2.
Why not A: This counts only HT or only TH, overlooking the other order with one head.
Why not B: Three outcomes correspond to at least one head, not exactly one head.
Why not D: HH and TT do not contain exactly one head, so the event is not certain.
If P(A) = 0.54, P(B) = 0.69 and P(A ∩ B) = 0.35, find P(A ∪ B).
  1. 0.88 ✓
  2. 1.23
  3. 0.35
  4. 0.19
Answer: A. Inclusion–exclusion gives P(A ∪ B) = 0.54 + 0.69 − 0.35 = 0.88.
Why not B: This adds both event probabilities but fails to subtract their overlap.
Why not C: This reports only the intersection rather than all outcomes in either event.
Why not D: This subtracts the intersection from P(A) alone and omits B-only outcomes.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Probability →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

All 27 chapters →

Questions

How many NEET questions are there on Probability?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.