3.3. Applications in Engineering

Try these first

1. 1.

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

   Hint

   Consider the number of favorable outcomes.

2. 2.

   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.

3. 3.

   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.

4. 4.

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

   • True
   • False

   Hint

   Think about how Kolmogorov defined it.

5. 5.

   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.

6. 6.

   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.