I had Marcos continue exercises on the Probability of Compound Events. We also made some corrections on his homework from last week. He completed problems 23-41 on p. 104, and should do 42-47 for homework.
When we are trying to find the probability of more than one event, we have to determine if the events are dependent or independent of each other. If they are Independent, then the P(A and B) = P(A) + P(B). If the events are dependent, then P(A and B) = P(A) + P(B, given A). Marcos understood the concepts and did well with the examples. His homework over the weekend is p.104 (1-22 all)
We read about cases about the percentage of people who have type O blood, as well as the number of successful free throws a basketball player makes. Marcos conducted simulations based on the information given. His simulation involved having a pen top with a string attached, which he dropped to the floor and, depending on the way it landed, determined whether a person had type O blood or not. With the free throws, a person has a 2/3 chance of making a free throw. Marcos divided the floor of his class into thirds, and again dropped the pen. It's landing spot determined the future outcome of free throws. It was an interesting class period!
After our hour session of Algebra, Marcos felt a bit fried in the brain! We did an activity that involved listing the sample space from tossing 2 cubes and 2 tetrahedron die. We then looked at the probabilities of rolling different sums. We compared the probability of rolling a sum of 4 with 2 cubes to a sum of 4 with the tetrahedron. Marcos had to answer the question "Is the probability of rolling a 4 the same with both types of die? If it is different, why?" In fact, the probability of rolling a sum of 4 with tetrahedrons is greater than with cubes because the sample space of rolling cubes is greater.
