CAT Probability Questions

Probability measures the likelihood of an event within a defined sample space. Counting favourable outcomes works directly only when elementary outcomes are equally likely; dependent events need conditional reasoning.

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Key concepts

• Sample spaces and equally likely outcomes
• Complementary and overlapping events
• Conditional probability and independence

CAT probability practice questions

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Common mistakes

• Assuming every described outcome is equally likely.
• Treating sampling without replacement as independent trials.

Practical solving approaches

• Define the sample space and verify how outcomes are generated.
• Use the complement for 'at least one' events when it simplifies counting, and update probabilities after dependent steps.

Probability FAQs

Are mutually exclusive events independent?

Not generally. Two mutually exclusive events with positive probability cannot be independent, because the occurrence of one rules out the other.

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CAT Probability Questions

Probability measures the likelihood of an event within a defined sample space. Counting favourable outcomes works directly only when elementary outcomes are equally likely; dependent events need conditional reasoning.

2 free practice questions

Key concepts

• Sample spaces and equally likely outcomes
• Complementary and overlapping events
• Conditional probability and independence

CAT probability practice questions

Question 1Multiple choiceMEDIUM

Question 1

Select the correct alternative from the given choices.

Answer the questions independently of each other.

x, y, z are positive integers such that x + y + z = 100. Find the probability that x > 20, y > 10 and z > 20.

Choose an answer

A.

B.

C.

D.

Check answerView solution

Question 2Multiple choiceEASY

Question 2

Select the correct alternative from the given choices.

Answer the questions independently of each other.

What is the probability of getting a sum of 7, when two dice are thrown?

Choose an answer

A.

B.

C.

D.

Check answerView solution

Common mistakes

• Assuming every described outcome is equally likely.
• Treating sampling without replacement as independent trials.

Practical solving approaches

• Define the sample space and verify how outcomes are generated.
• Use the complement for 'at least one' events when it simplifies counting, and update probabilities after dependent steps.

Probability FAQs

Are mutually exclusive events independent?

Not generally. Two mutually exclusive events with positive probability cannot be independent, because the occurrence of one rules out the other.

More Modern Maths practice

• Permutations & combinations →
• Set theory & Venn diagrams →