Comparing Theoretical and Experimental Probability

Questions

1. MultiChoice

   The theoretical probability of flipping Heads is 1/2. A coin is flipped 100 times and lands on Heads 53 times. Which statement is true?

2. MultiChoice

   What usually happens to experimental probability as the number of trials increases?

3. MultiChoice

   Which law states that as the number of trials increases, experimental probability approaches theoretical probability?

4. MultiChoice

   The theoretical probability of rolling a 3 on a die is 1/6. In 60 rolls, a 3 was rolled 12 times. What is the difference between experimental and theoretical probability?

5. MultiChoice

   Theoretical probability is based on ______, while experimental probability is based on ______.

6. MultiChoice

   A spinner has 4 equal sections (Red, Blue, Green, Yellow). Theoretical P(Red) = 1/4. In 20 spins, Red occurred 7 times. What is experimental P(Red)?

7. MultiChoice

   For a fair coin, P(Heads) theoretical is 0.5. In 10 flips, Heads appeared 3 times. What is experimental P(Heads)?

8. MultiChoice

   Why might experimental probability differ from theoretical probability in a small experiment?

9. MultiChoice

   To get experimental results closest to theoretical probability, you should:

10. MultiChoice

    Theoretical P(rolling 6) = 1/6 (~16.7%). A student rolls a die 30 times and gets 6 five times. What is the experimental probability?

11. MultiChoice

    A bag has 5 red and 5 blue marbles. Theoretical P(red) = 0.5. In 10 draws with replacement, red is picked 4 times. What is experimental P(red)?

12. MultiChoice

    If you flip a coin 1,000 times instead of 10 times, what do you expect about the percentage of Heads?