1.7. Connection to Probability Theory

Try these first

1. 1.

   What defines a random experiment?

   Hint

   Think about the three key characteristics discussed.

2. 2.

   List the possible outcomes for rolling a die.

   Hint

   Count the faces of the die.

3. 3.

   What is a random experiment?

   • A predictable situation
   • An uncertain outcome
   • A fixed process

   Hint

   Think about uncertainty in outcomes.

4. 4.

   True or False: The sample space of a coin toss is {Heads, Tails}.

   • True
   • False

   Hint

   Consider the outcomes of tossing a coin.

5. 5.

   If a bag contains 4 red balls and 6 blue balls, what is the probability of drawing a red ball? Now consider drawing two balls without replacement. How does the probability change?

   Hint

   Use the formula for probability for both scenarios.

6. 6.

   In a game, you draw a card from a standard deck. What is the probability of drawing a heart on your first draw, and how does this change if you draw a second card without replacement?

   Hint

   Consider the total number of hearts and the total remaining cards when calculating the second probability.