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

3.3 - Applications in Engineering

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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