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A group of friends are playing a game in which they roll a 4-sided pyramid and pull a marble from a bag of 4 marbles. The faces of the pyramid are the same size and numbered 1 to 4. Each marble is a different color. The colors are green, blue, orange, and purple. The friend that rolls the number 3 on the pyramid and pulls a blue marble wins a point. The results from the first 12 turns are listed: 4 and blue 1 and blue 3 and orange 2 and green 3 and blue 2 and purple 2 and purple 1 and purple 4 and blue 1 and green 4 and orange 3 and green Compare the theoretical and experimental probability of rolling a 3 on the pyramid and pulling a blue marble by dragging and dropping the descriptions into the box it matches.

Answer :

Answer:

  • Theoretical Probability of picking a blue Marble and Rolling a 3[tex]=\frac{1}{16}[/tex]
  • Experimental Probability of picking a blue Marble and Rolling a 3[tex]=\frac{1}{12}[/tex]

Step-by-step explanation:

If the friends roll a 4-sided pyramid and pull a marble from a bag of 4 marbles.

THEORETICAL PROBABILITY

P(Picking a blue Marble)[tex]=\frac{1}{4}[/tex]

P(Rolling a 3)[tex]=\frac{1}{4}[/tex]

P(Picking a blue Marble and Rolling a 3)[tex]=\frac{1}{4} X \frac{1}{4}=\frac{1}{16}[/tex]

EXPERIMENTAL PROBABILITY

The outcomes from the first 12 turns are:

  • 4 and blue
  • 1 and blue
  • 3 and orange
  • 2 and green
  • 3 and blue
  • 2 and purple
  • 2 and purple
  • 1 and purple
  • 4 and blue
  • 1 and green
  • 4 and orange
  • 3 and green

n(3 and blue)=1

P(Picking a blue Marble and Rolling a 3)[tex]=\frac{1}{12}[/tex]

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