Tree Diagram Problems
Part 2
Draw a tree diagram to list all the possible outcomes for the following problems.
1. You are at a carnival. One of the carnival games asks you to pick a door and then pick a curtain behind the door. There are 3 doors and 4 curtains behind each door. How many choices are possible for the player? Draw a tree diagram to represent your answer.
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2. The 4 aces are removed from a deck of cards. A coin is tossed and one of the aces is chosen. What is the probability of getting heads on the coin and the ace of hearts? Draw a tree diagram to illustrate the sample space.
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3. The eighth grade graduation party is being catered. The caterers offer 4 appetizers, 3 salads, and 2 main courses for each eighth grade student to choose for dinner. Draw a tree diagram to represent your answer.
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4. A spinner has 4 equally likely regions numbered 1 to 4 with 4 different colors, red being one of them. The arrow is spun twice. What is the probability that the spinner will land on a 1 on the first spin and on a red region on the second spin? Draw a tree diagram to represent your answer.
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5. There are 3 pens and 2 highlighters on a desk. There is 1 green pen, 1 blue pen and 1 red pen. There is 1 yellow highlighter, and 1 pink highlighter. What are the possible outcomes if you pick one pen and one highlighter from the desk? Draw a tree diagram to represent your answer.
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6. You pack 2 pairs of pants, 3 shirts, and 2 sweaters for your vacation. List all of the outfits you can make using one sweater, one shirt, and one pair of pants. Draw a tree diagram to represent your answer.
7. 5. Paige is getting a band together. There are 8 possible drummers and 2 lead singers to choose from. How many different bands can Paige create?
8. While having his kitchen remodeled, Davion discusses the options with his contractor. There are 5 countertops and 3 sinks and 2 different colors to choose from. How many different kitchens can Davion design?
Sanwiches can be made with ham or turkey on rye, white, or sourdough breads. Which list shows all the possible outcomes?
ham / ryeturkey / rye
ham / white
ham / white
turkey / sourdough
turkey / sourdough
ham / rye
turkey / white
ham / sourdough
ham / rye
turkey / white
turkey / sourdough
ham / rye
turkey / white
turkey / sourdough
ham / rye
turkey / white
ham / sourdough
10. Gayle was asked to find a number equivalent to 35%. Which number below is NOT equivalent to 35%?
a. 7/20 b. 7/50 c. 35/100 d. 35/50 ______
11. Which number has the prime factorization of 23 x 32 x 5 =
.12. Of the 32 cars in the lot, 24 are black. Which answer choice below shows an equivalent representation of the cars that are black?
a. 75% b. 60% c. 24% d. 22% ______
13. A teacher handed out 63 ribbons and 42 medals to his students at the Christmas party. If each student that attended received the same amount of ribbons and the same number of medals, what is the greatest number of students that could attend?
.14. A box has a length of 6.2 inches, a width of 15.1 inches and a height of 4.2 inches. What is the volume of the box?
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