What is the probability of hitting each target if it is assumed that a player's throw will always hit the board? hint: the probability of hitting each target is the area of the target hole divided by the total area of the target. take the value of π to be 3.14.

Question

Mathematics

Deanna Spence

25 February, 10:14

What is the probability of hitting each target if it is assumed that a player's throw will always hit the board? hint: the probability of hitting each target is the area of the target hole divided by the total area of the target. take the value of π to be 3.14.

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Bianca · Answer 1

Because the actual dimensions of the board and the target are missing, let us supply the missing values.

Let:

radius of board = 6 inches

radius of target = 2 inches

Area of board = pi * r^2 = pi*6^2 = 36pi

Area of target = pi * r^2 = pi*2^2 = 4pi

Probability of hitting the target = 4pi / 36pi = 1/9

Therefore, there is a 1/9 chance of hitting the target on the board.