Lesson 66- Experimental and Theoretical Probability

Theoretical Probability:
Example 1:

a)What is the theoretical probability of getting a 5 when rolling a die?
Outcomes: 1,2,3,4,5,6 < Total Outcomes (all)
Favorable outcome:  P(5) = 1/6 < Theoretical

b) Simulate rolling a die 300 times and recording the number of times a 5 appears.
For this calculation you have to use the Randbin
Randbin (1, 1/6,300) = 56/300

Example 2:
You can also use a tree diagram to calculate your answer.
What is the probability that in a family of 3 there are exactly 2 girls?
Tree Diagram:

Determine the number of branches that contain 2 girls?
P(2G)= 3/8 = 37.5%
 * find the branches that show only two girls

Probability:
If an experiment has n equally likely outcomes of witch r outcomes are favourable to event A, then the probability of event A is:  
                                               P(a) = r/n