# 4th Grade - All Possible Outcomes For An Event

 Grade Level: 4th Skill: Fractions and Probability Topic: All Possible Outcomes for an Event Goal: Represent all possible outcomes for a simple probability situation in an organized way (i.e. tables, grids, tree diagrams). Skill Description: Organize and list outcomes from a probability experiment or situation on a table, tally chart, tree diagram, etc.

## Building Blocks/Prerequisites

### Sample Problems

(1)

By reading the tally chart, which outcomes occurred?

 Dice 1 2 3 4 5 6 Heads \\ \\\ \\ \\\\ \\ \\ Tails \\ \ \\ \\\\ \\\\

(H1 (2) , T1(2) , H2 (3), T2 (1), H3 (2), T3 (2), H4 (5), T4 (0), H5 (2), T5 (5), H6 (2), T6)

(2)

Identify the possible outcomes for this experiment:

 Dice 1 2 3 4 5 6 Heads Tails

(H1 , T1 , H2, T2, H3, T3, H4, T4, H5, T5, H6, T6)

(3)

Complete the tree diagram:

Days: Saturday, Sunday

How many outcomes will there be? ________________ (8)

Event Day Outcome

Swimming <

Hiking<

Arts & Crafts<

Water Rafting<

(4)

Complete the table to make a list of possible outcomes:

Jacob has to make a reservation for his trip aboard the train. He has the option of a window seat, aisle seat, middle seat or personal cabin. His meals can be chicken, beef or salad. How many different ways can he make his train reservations?________ (12)

Train Reservations

 Seat Meal

(5)

How many possible outcomes are included in the spinners below:

Outcomes: ______________________________________________ (Red-A, Red-B, Red-C, Red-D; Blue-A, Blue-B, Blue-C ,Blue-D; Purple-A, Purple-B, Purple-C, Purple-D, Yellow-A, Yellow-B, Yellow-C, Yellow-D; Green –A, Green –B, Green –C, Green –D; Pink-A, Pink-B, Pink-C, Pink-D)

### Learning Tips

(1)

(2)

Math Vocabulary

Probability- the number of favorable outcomes compared to the number of possible outcomes

Outcomes- the result of an experiment

Event- one outcome or a combination of outcomes

Tally Chart- A tally chart is used to show how often something happens. The grouping of the lines in 5s allows the person to determine the amount by looking at the data quickly.

Example:

 Color Blue Green Two-tone Hazel Brown Tally \\\\ \\\ \\ \\\\ \ \\\\ \\

(3)

Tree Diagram- A diagram that shows all possible outcomes or choices

(4)

Practice using a tally chart with outcomes:

Play a game with your child by tossing a coin and throwing one die. Make a chart and tally the outcomes that occur when you toss the coin and die.

(5)

How many outfits:

Take out clothes and decide how many outfits can be put together by interchanging the pants and shirts. For example, 3 different pants, 3 different shirts and match them up with one another.

Then you can record the different outcomes on a tree diagram.

### Extra Help Problems

(1)

How would you record your outcomes for a probability experiment:

_________________________________ (Use a tally chart)

(2)

By reading the tally chart, which outcomes occurred?

The outcomes of rolling the die and pulling out a colored marble from the bag.

 Color Dice Red Yellow Green 1 \\ \ \\\\ 2 \\\ \\ \ 3 \\\\ \\ 4 \ \ \\\ 5 \\ \\\\ \\ 6 \\\ \\\ \

Outcomes: _________________________

(3)

How many times did the group conduct the experiment? _______ (40- add the tally marks)

The outcomes of rolling the die and pulling out a colored marble from the bag.

 Color Dice Red Yellow Green 1 \\ \ \\\\ 2 \\\ \\ \ 3 \\\\ \\ 4 \ \ \\\ 5 \\ \\\\ \\ 6 \\\ \\\ \
(4)

Which color appeared the most? _______________ (Yellow)

The outcomes of rolling the die and pulling out a colored marble from the bag.

 Color Dice Red Yellow Green 1 \\ \ \\\\ 2 \\\ \\ \ 3 \\\\ \\ 4 \ \ \\\ 5 \\ \\\\ \\ 6 \\\ \\\ \

(5)

Which number appeared the most? __________ (5 and 1 were even)

The outcomes of rolling the die and pulling out a colored marble from the bag.

 Color Dice Red Yellow Green 1 \\ \ \\\\ 2 \\\ \\ \ 3 \\\\ \\ 4 \ \ \\\ 5 \\ \\\\ \\ 6 \\\ \\\ \

(6)

Identify the possible outcomes for this experiment:

 Color Red Yellow Blue Green Heads Tails

(RH, RT, YH, YT, BH, BT, GH, GT)

(7)

How many outcomes would there be if we added 2 more colors to the experiment:

 Color Red Yellow Blue Green Heads Tails

Outcomes _____ (12)

(8)

By reading the tally chart, which outcomes occurred?

 Color Red Yellow Blue Green Heads \\\ \\\\ \\ \\\\ Tails \\ \ \\\\ \

(RH (3), RT (2), YH (4), YT(1), BH (2), BT(4), GH(5), GT(1))

(9)

Which outcome appeared the most?

 Color Red Yellow Blue Green Heads \\\ \\\\ \\ \\\\ Tails \\ \ \\\\ \

(10)

Which outcome appeared the least:

 Color Red Yellow Blue Green Heads \\\ \\\\ \\ \\\\ Tails \\ \ \\\\ \

(Tails-Yellow & Tails-Green)

(11)

Complete the tree diagram:

Movies: Superman, Spiderman, Iron Man

Times: 5:00 pm, 6:00 pm, 7:00 pm

How many outcomes will there be? ________________ (9)

(12)

Complete the tree diagram:

Drinks: water, juice, soda, punch

Size: small, medium, large, jumbo

How many outcomes will there be? ________________ (16)

(13)

Complete the tree diagram:

Meat Choice: chicken, steak, vegetarian

How many outcomes will there be? ________________ (9)

(14)

Complete the tree diagram:

Pants: blue, black, brown

Shirts: white, beige, striped

How many outcomes will there be? ________________ (9)

(15)

Complete the tree diagram:

Soup choices: Potato cheese, cream of broccoli, chicken noodle

Bread: wheat, white, sourdough, garlic toast

How many outcomes will there be? ________________ (12)

(16)

Make a table to list the possible outcomes:

The Oslo family is remodeling their kitchen. The have a choice of tan, white, or gray for paint. The countertops can be gray granite, black granite, brown granite, or blue granite. The tile can be tan, gray, or blue.

How many outcomes will they have to choose from? ________ (36)

(17)

Make a table to list the possible outcomes:

We are at the bakery and have to make a choice on a birthday cake for the party. The choices are chocolate, vanilla or cream cheese icing. Chocolate cake, marble cake or white cake. The decorations can be flowers, balloons, or a photograph.

How many outcomes will they have to choose from? ______ (27)

(18)

Make a table to list the possible outcomes:

In order to plan a party we have to choose a location to have it. We have made reservations for a park, banquet hall, or restaurant. We also need to decide on the time, like afternoon or evening.

How many possible outcomes are there? __________ (9)

(19)

Make a table to list the possible outcomes:

Which type of ice cream should we serve at the bake sale: vanilla, chocolate strawberry, or cookies and cream? We also need to make a choice on the toppings: nuts, sprinkles, or chocolate syrup.

How many possible outcomes are there: _______ (12)

(20)

List the possible outcomes for the tools below:

Six-sided dice

Outcomes: ____________

(21)

List the possible outcomes for a coin and the spinner below:

(22)

List the possible outcomes included in the spinners below:

Outcomes: ________________________________________

(23)

How many possible outcomes are the for the tools below: _________ (36)

Six-sided dice

(24)

How many possible outcomes are there for a coin and the spinner below:

Outcomes: _____ (16)

(25)

Name two ways you can organize your outcomes for a probability experiment:

___________ ___________ (table, tally chart, tree diagram, list---answers may vary)