Assignments

Algebra 1

Prerequisite: Pre-Algebra
Grades 9
1 credit
Designed as the first year of a two-year sequence in the study of algebra. Intended primarily for ninth grade students. Algebra I emphasizes rules, symbols and the laws of arithmetic as applied to algebraic structure. This is the first course in the college preparatory program. Next course is Geometry.

Independent Events Algebra 1

In our last lesson we learned how to solve more complex probability problems by using diagrams or lists to visualize the sample space of an experiment. Today we find probabilities without creating these diagrams. We will concentrate on what are known as independent events-- events where the probability of one event is not effected by the other event occurring.

Exercise #1: consider tossing a fair coin and then rolling a fair six-sided die.

(a) Why are these two events independent ? 

(b) Draw a tree diagram to represent all the possible outcomes from this experiment.

(c) What is the probability of getting a tails when tossing the coin ?

(d) What is the probability of rolling a number less than three on the die ?

(e) From your tree diagram ,what is the probability that a tail was tossed and a number less than three was rolled ?

(f) How could the probabilities in parts (c) and (d) be combined to obtain the probability found in part (e) ?