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

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Question 1(a)

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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 sect... 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(a) - 2021

Step 1

How many different possible outcomes are there in the game?

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Answer

To determine the total possible outcomes in the game of Twister, we need to consider the combinations of the two spinners:

  1. Analyze Spinner Combinations:

    • Spinner for Hands/Feet: There are 4 options: Left Hand, Right Hand, Left Foot, and Right Foot.
    • Spinner for Colors: There are 4 options: Yellow, Blue, Red, and Green.
  2. Calculate Total Outcomes: Since the choice for hand/foot is independent from the choice of color, we can calculate the total outcomes by multiplying the number of options from each spinner. The formula for the total outcomes is:

    extTotalOutcomes=(extNumberofHands/Feet)imes(extNumberofColors) ext{Total Outcomes} = ( ext{Number of Hands/Feet}) imes ( ext{Number of Colors})

    Substituting the values:

    extTotalOutcomes=4imes4 ext{Total Outcomes} = 4 imes 4

    Thus, the total number of different outcomes is:

    extTotalOutcomes=16 ext{Total Outcomes} = 16

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

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