Lesson #4 title: PART 4 = EXPERIMENTAL PROBABILITY vs THEORETICAL PROBABILITY!
Date:
OUTCOMES:
1. Continue to gain familiarity with probability language.
2. Determine the theoretical probability of an outcome occurring for a given probability
experiment (gr6 POS).
3. Predict the experimental probability of a given outcome occurring for a given probability
experiment by using theoretical probability (gr6 POS).
4. Distinguish between theoretical probability and experimental probability, and explain the
differences (gr6 POS).
5. Conduct a given probability experiment a number of times, record the outcomes, and explain
the results.
Example #1: (spinner obtained from http://www.commoncoresheets.com/Math/Probability/Most%20Least%20Equally/1.pdf)
Calculate the THEORETICAL and the EXPERIMENTAL PROBABILITY of obtaining each number or letter on each spinner.
EXPERIMENTAL PROBABILITY (definition) =
THEORETICAL
PROB (Spin 1X)
P(1) =
THEORETICAL
PROB (Spin 27X)
P(1) =
EXPERIMENTAL
PROB (Spin 27X)
P(1) =
P(2) =
P(2) =
P(2) =
P(3) =
P(3) =
P(3) =
P(4) =
P(4) =
P(4) =
THEORETICAL
PROB (Spin 1X)
P(1) =
THEORETICAL
PROB (Spin 36X)
P(1) =
EXPERIMENTAL
PROB (Spin 36X)
P(1) =
P(2) =
P(2) =
P(2) =
P(3) =
P(3) =
P(3) =
P(4) =
P(4) =
P(4) =
THEORETICAL
PROB (Spin 1X)
P(A) =
THEORETICAL
PROB (Spin 24X)
P(A) =
EXPERIMENTAL
PROB (Spin 24X)
P(A) =
P(B) =
P(B) =
P(B) =
P(C) =
P(C) =
P(C) =
P(D) =
P(D) =
P(D) =
THEORETICAL
PROB (Spin 1X)
P(1) =
THEORETICAL
PROB (Spin 30X)
P(1) =
EXPERIMENTAL
PROB (Spin 30X)
P(1) =
P(2) =
P(2) =
P(2) =
P(3) =
P(3) =
P(3) =
P(4) =
P(4) =
P(4) =
THEORETICAL
PROB (Spin 1X)
P(A) =
THEORETICAL
PROB (Spin 50X)
P(A) =
EXPERIMENTAL
PROB (Spin 50X)
P(A) =
P(B) =
P(B) =
P(B) =
P(C) =
P(C) =
P(C) =
P(D) =
P(D) =
P(D) =
THEORETICAL
PROB (Spin 1X)
P(A) =
THEORETICAL
PROB (Spin 20X)
P(A) =
EXPERIMENTAL
PROB (Spin 20X)
P(A) =
P(B) =
P(B) =
P(B) =
P(C) =
P(C) =
P(C) =
P(D) =
P(D) =
P(D) =
COMPARE your results from the theoretical and your experimental probabilities
(did you get the same or close to the same or very different results?)