Respuesta :

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

A bag of marbles contains:

  • 3 yellow marbles
  • 5 green marbles
  • 4 red marbles.

Total Number of Marbles=3+5+4=12

  • P(Picking a Yellow Marble)[tex]=\frac{3}{12}=\frac{1}{4}[/tex]

The Spinner has sections 1,2,3 and 4

Therefore:

  • P(Spinning a 4)[tex]=\frac{1}{4}[/tex]

In Probability Theory, P(A and B)=P(A) X P(B)

Therefore:

P(Picking a Yellow Marble AND Spinning a 4)

[tex]=\frac{1}{4} X\frac{1}{4} \\=\frac{1}{16}[/tex]

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