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The game "Twister" is played using two spinners and a mat with coloured spots - Leaving Cert Mathematics - Question 1 - 2021

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The game "Twister" is played using two spinners and a mat with coloured spots. The two spinners needed for the game are shown below. Both consist of four equal secti... show full transcript

Worked Solution & Example Answer:The game "Twister" is played using two spinners and a mat with coloured spots - Leaving Cert Mathematics - Question 1 - 2021

Step 1

How many different possible outcomes are there in the game?

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Answer

To find the number of different possible outcomes in the game of Twister, we need to consider the combinations of the hand/foot with the coloured spots.

  1. Identify the elements of the spinners:

    • Spinner for Hands/Feet: There are 4 choices:

      • Left Hand (LH)
      • Right Hand (RH)
      • Left Foot (LF)
      • Right Foot (RF)
    • Spinner for Colours: There are 4 choices:

      • Yellow (Y)
      • Red (R)
      • Blue (B)
      • Green (G)
  2. Calculate the total outcomes: Since both choices (hand/foot and colour) are independent of each other, we can multiply the number of choices together:

    extTotalOutcomes=extNumberofhand/footchoicesimesextNumberofcolourchoices ext{Total Outcomes} = ext{Number of hand/foot choices} imes ext{Number of colour choices} extTotalOutcomes=4imes4=16 ext{Total Outcomes} = 4 imes 4 = 16

Therefore, there are 16 different possible outcomes in the game.

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