Practice Applications in Engineering - 3.3 | 3. Classical and Axiomatic Definitions of Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the probability of rolling a 3 on a fair die?

💡 Hint: Consider the number of favorable outcomes.

Question 2

Easy

If you draw a card from a standard deck, what is the probability of drawing a spade?

💡 Hint: Check how many spades are in a standard deck.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for the Classical Definition of Probability?

  • P(E) = m/n
  • P(E) = n/m
  • P(E) = E/m

💡 Hint: Recall the setup where outcomes are equally likely.

Question 2

True or False: The Axiomatic Definition can be applied to infinite sample spaces.

  • True
  • False

💡 Hint: Think about how Kolmogorov defined it.

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Challenge Problems

Push your limits with challenges.

Question 1

You have a box containing 5 blue, 4 red, and 1 green ball. If you draw one ball at random, what is the probability that the ball drawn is not blue?

💡 Hint: Determine the total chances and possible outcomes.

Question 2

In a city, 30% of the households own a pet. If you randomly select 5 households, what is the probability that exactly 2 of them own a pet?

💡 Hint: Consider the dynamics of choosing successful outcomes in multiple trials.

Challenge and get performance evaluation