Area Model

Area Model

Remember, you can do this assignment as many times you want to get the grade you want.

Objectives:

Learning Objective: Students will create and use area models to determine probability.

Language Objective: Students will express their reasoning in written form.

Vocabulary:

Area model is another model to display Theoretical Probability.

Example 1: Create an Area Model:

In Bucket 1 are two green cubes and one red cube. In Bucket 2, there is a red, a blue, a green, and a yellow cube. Create an area model.

Multiple Choice

Summer is selecting a marble (black, red, red, or yellow) from one jar and a cube (yellow, red, or green) from another jar. Which is the correct area model?

Example 2: Finding Probability using an Area Model:

Use the area model you drew to find the following probabilities:

P(RR) = P(RB) = P(RG) =

P(RY) = P(GR) = P(GB)=

P(GG)= P(GY) = P(YY) =

Multiple Choice

Summer is selecting a marble (black, red, red, or yellow) from one jar and a cube (yellow, red, or green) from another jar. What is the probability that both will be the same color?

• $\frac{9}{12}$

• $\frac{3}{12}$

• $1$

Example 3:

Samantha is flipping a coin and then spinning a spinner with the colors red, blue, green and yellow. What is the theoretical probability that she will flip heads and then spin a blue or a green on the spinner?

Multiple Choice

What is the probability of flipping a Heads on a coin and rolling and odd number on a die?

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{3}{12}$

Multiple Choice

) Chris is rolling two number cubes and then finding the sum of the two results. What is the theoretical probability that he will have a sum less than 7?

• $\frac{15}{36}$

• $\frac{18}{36}$

• $\frac{21}{36}$

Example 4:

In a recent survey, 30% of children wanted to buy IPad in the last six months. Meanwhile, 65% of children say that they dislike vegetables. What is the probability that a child selected at random wants to buy an IPad and dislike vegetables?

Multiple Choice

What the probability that you will pick a shirt and a pants that is not the same color?

• $\frac{1}{5}$

• $\frac{1}{20}$

• $\frac{19}{20}$

Done!!

Homework is due on Monday!!!