Practice Partial Differential Equations - 2 | 2. Sample Space and Events | Mathematics - iii (Differential Calculus) - Vol 3
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Partial Differential Equations

2 - Partial Differential Equations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a random experiment?

💡 Hint: Think of activities that involve chance.

Question 2 Easy

List the sample space for rolling a die.

💡 Hint: Think about the faces of the die.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a sample space?

A subset of outcomes
The complete set of outcomes
An uncountable set

💡 Hint: It's denoted by S or Ω.

Question 2

True or False: A compound event can consist of multiple outcomes.

True
False

💡 Hint: Recall the definition of compound events.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an experiment with a sample space and list all events. Include simple, compound, and mutually exclusive events.

💡 Hint: Visualize combinations and outcomes when rolling two dice.

Challenge 2 Hard

If the sample space is S = {a, b, c, d}, create mutually exclusive events and calculate the complement of one event.

💡 Hint: Consider what is left out of your selected event.

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