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Math Grade 4-5

Basic Probability: Likely and Unlikely

Compare chances using everyday events and simple models

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Practice deciding whether events are certain, likely, equally likely, unlikely, or impossible using words, numbers, and simple probability models.

Read each problem carefully. Use the words certain, likely, equally likely, unlikely, or impossible when asked. Show your thinking in the space provided.

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Compare chances using everyday events and simple models

Math - Grade 4-5

Instructions: Read each problem carefully. Use the words certain, likely, equally likely, unlikely, or impossible when asked. Show your thinking in the space provided.
  1. 1
    A bag with eight red marbles and two blue marbles.

    A bag has 8 red marbles and 2 blue marbles. If you pick one marble without looking, is it more likely to be red or blue? Explain.

  2. 2

    Choose the best probability word for this event: The sun will rise tomorrow. Use one of these words: certain, likely, equally likely, unlikely, impossible.

  3. 3
    A spinner with three green sections and one yellow section.

    A spinner has 4 equal sections: green, green, green, and yellow. Is landing on yellow likely or unlikely? Explain.

  4. 4
    Six dice faces showing one through six pips.

    A number cube has the numbers 1 through 6. Is rolling a number less than 7 certain, likely, unlikely, or impossible? Explain.

  5. 5
    A jar with five orange candies and five purple candies.

    A jar has 5 orange candies and 5 purple candies. If you choose one candy without looking, are you more likely to choose orange, more likely to choose purple, or equally likely to choose either? Explain.

  6. 6

    Describe one event at school that is likely to happen on a normal school day.

  7. 7
    A basket with one apple, one banana, one orange, and one pear.

    A basket has 1 apple, 1 banana, 1 orange, and 1 pear. If you choose one fruit without looking, is choosing an apple likely, unlikely, certain, or impossible? Explain.

  8. 8

    A weather report says there is a 90% chance of rain today. Is rain likely or unlikely? Explain.

  9. 9
    A spinner with six blue sections and two red sections.

    A spinner has 8 equal sections. Six sections are blue and two sections are red. Which color is the spinner more likely to land on? Explain.

  10. 10
    A bag containing only green cubes.

    A bag contains only green cubes. If you pull out one cube without looking, what is the chance of pulling out a red cube: certain, likely, equally likely, unlikely, or impossible? Explain.

  11. 11
    Eighteen lunch boxes and six cafeteria trays in two groups.

    A class has 18 students who brought lunch from home and 6 students who are buying lunch. If one student is chosen at random, is that student more likely to have brought lunch or to be buying lunch? Explain.

  12. 12
    A box with three star stickers and nine heart stickers.

    A box has 3 star stickers and 9 heart stickers. If you choose one sticker without looking, is choosing a star sticker likely or unlikely? Explain.

  13. 13
    A regular number cube shown with dot pips.

    Write an example of an impossible event involving a regular number cube labeled 1 through 6.

  14. 14
    A bowl with four chocolate cookies and four oatmeal cookies.

    A bowl has 4 chocolate cookies and 4 oatmeal cookies. If you choose one cookie without looking, describe the chance of choosing a chocolate cookie.

  15. 15
    Six possible die faces for a standard number cube.

    Order these events from least likely to most likely: rolling a 6 on a number cube, rolling a number from 1 to 6 on a number cube, rolling a 10 on a number cube.

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