Activities

1. List the outcome of tossing two coins.

2. Joe holds 4 playing cards consisting of 2 queens and 2 jokers. Without looking, Jen draws two cards at random. What is the probability that both cards Jenna draws are queens?

3. A bag contains five green marbles and three red marbles. If three marbles are chosen at random without replacement, what is the probability that all three will be green? Express your answer as a fraction in simplest form. Show your work.

4. A jar contains four coins: a penny, a nickel, a dime, and a quarter. Katie shakes the jar and two coins fall out. What is the probability that the total value of the two coins is at most $0.26? Express your answer as a fraction in simplest form. Show your work.

5. Duane has four baseball hats: one white, one yellow, one red, and one green. He also has three shirts: one yellow, one red, and one black.
   
   PART (A): Draw a tree diagram or list a sample space to show all possible outfits consisting of one baseball hot and one shirt.
   
   PART (B): Find the number of Duane’s outfits that consist of a hat and shirt that are different colors.
   
   PART (C): On Spirit Day, Duane wants to wears his school’s colors which are back and red. How many outfits does he have that have red or black on them?

6. You are conducting an experiment that asks people to do two tasks.  The first one is to roll a number cube and the next one is to spin the spinner shown below.

Part A) – List the sample space of all the outcomes.

Part B) – What is the probability that you will get an even number and the color red?

Part C) – What is the probability that you will get the number six or the color green?

Answer Key/Rubric

1. HH, TT, HT, TH

3. The probability of getting all three marbles that are green is .  Student work might include but is not limited to,

• Multiplying the probabilities that each time you reach in the bag you will get a green marble, assuming that you are getting green on the previous tries.
• 
• Next you have to find the lowest terms of the fractional probability.
• 

4. The probability that you will get two coins that have a total value of no more than $0.26 is . 
   
   Student work might include but is not limited to,

• Make a table with all the possible outcome of two coins that could be picked.  In the table below there is an X placed in the box that would have two of the same coins.  That is not possible when you only have one of each coin.

• Next I saw that there are times that the value of the coins is at most $0.26.
• Last reduce

5.  The possible outfits with one hat and one shirt are shown in the table below.

            Part B) Duane has 10 outfits that have different color hats and shirts.

            Part C) Duane has 9 outfits that have red or black on them that he can wear for school spirt day.

6. Possible outcome of rolling the number cube and spinning the spinner.

Part B) The probability of getting red with an even number is 3 out of 30.  As a percent that would be equal to 10% chance.

Part C) The probability of getting the number 6 or the color green is 10 out of 30.  As a percent that would round to 33% chance.