Spinner Survey

Solution

Antoine Spinner 1
Belinda Spinner 5
Craig Spinner 4
Haley Spinner 2
Thangthip Spinner 3

Explanation

1 2 3 4 5
spinner divided into one green, two blue, two red, and three yellow segments. spinner divided into one yellow, two red, two green, and three blue segments. spinner divided into one blue, one red, two green, and four yellow segments. spinner divided into one red, one green, two yellow, and four blue segments. spinner divided into one yellow, one blue, three green, and three red segments.
Antoine Haley Thangthip Craig Belinda

The probability for each color for each spinner :

  spinner divided into one green, two blue, two red, and three yellow segments. spinner divided into one yellow, two red, two green, and three blue segments. spinner divided into one blue, one red, two green, and four yellow segments. spinner divided into one red, one green, two yellow, and four blue segments. spinner divided into one yellow, one blue, three green, and three red segments.
  Spinner 1 Spinner 2 Spinner 3 Spinner 4 Spinner 5
red two eighths two eighths one eighth one eighth three eighths
yellow three eighths one eighth four eighths two eighths one eighth
blue two eighths three eighths one eighth four eighths one eighth
green one eighth two eighths two eighths one eighth three eighths

Match the clues to the spinners:

  1. Thangthip has the best chance of getting yellow.
    Spinner 3 has 4 yellow sections out of 8.
    It has more yellow sections than any other spinner.
    It has the best chance of getting yellow.
    It must be Thangthip's.

  2. Antoine and Haley have the same probability of spinning red.
    Spinners 1 and 2 each have 2 red sections. They have the same probability of getting red.
    Spinners 3 and 4 each have 1 red section. They also have the same probability of getting red.

    Since Spinner 3 belongs to Thangthip, Spinners 1 and 2 must belong to Antoine and Haley.
    Read more clues to see who has each spinner.

  3. Thangthip and Haley have the same probability of getting green.
    Thangthip has Spinner 3.
    Its probability of getting green is 2 out of 8.
    The other spinner with the same probability of getting green is Spinner 2.
    Its probability of getting green is also 2 out of 8.
    Spinner 2 must belong to Haley.

    Using the information left from clue #2: Since Haley has Spinner 2, then Antoine must have Spinner 1.

  4. Of all the players, Belinda has the greatest chance of spinning green.
    Spinner 5 has a 3 out of 8 chance of getting green.
    It's probability of getting green is more than any other spinner.
    Spinner 5 must belong to Belinda.


Houghton Mifflin Math Grade 4