Respuesta :

Answer:

[tex]\sf \dfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

From inspection of the diagram:

  • Total number of pawns = 16
  • Total number of squares = 64

[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{\textsf{Total number of pawns}}{\textsf{Total number of squares}}[/tex]

[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{16}{64}=\dfrac{1}{4}[/tex]

Answer:

[tex]\sf probability : \bf 0.25[/tex]

Step-by-step explanation:

  1. The dimensions of a chess board is (8 × 8)
  2. There are 64 squares on a chess board.
  3. There are 8 black pawns and 8 white pawns.
  4. Total pawns in a chess board: (8 + 8) = 16 pawns on 16 squares.

[tex]\sf Probability = \dfrac{favorable \ outcomes}{total \ outcomes}[/tex]

[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{16}{64}[/tex]

[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{1}{4} \ \ \approx \ \ 0.25 \ \ (as \ a \ decimal)[/tex]

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