Understanding Probability: Empirical vs. Theoretical Concepts

4. 1 = = 50% 0.5 2 12 2 = = = 40% 0.4 30 5 Empirical probability is what actually happened. Theoretical probability is what you expect will happen.

5. 40 1 = = = 20% 0.2 200 5

7. H T R R Y B Y B Sample Space {H-R, H-Y, H-B, T-R, T-Y, T-B}

8. 7 + 6 + 9 = 22 total ribbons 13 = = 59.1% 0.591 22 7 + 6 = 13 yellow or green

9. 6 + 7 + 5 + 2 = 20 total coins 5 5 1 = = = 6.25% 0.0625 * 20 20 16

10. 6 + 7 + 5 + 2 = 20 total coins 5 4 1 = = = 5.26% 0.0526 * 20 19 19

11. 1 8 2 7 3 6 4 5 4 1 = = = 50% 0.5 8 2

12. 1st digit 2nd digit 3rd digit 4 4 4 There are 4 choices for each digit.

13. (84)(x) = (18)(210) x 18 * x = 45 84 210 84x = 3780 84 84

15. 62.5% = .625

16. or MATH PRB 4: !