If you throw 500 darts at a hexagonal shaped dart board, how many will land in the shaded area?
hexagon is divided into 24 triangles. 6 are shaded and 18 are white
This is a poorly defined question. Assumptions must be made to answer it. The answer depends upon how the shaded areas are arranged relative to the statistical distribution (centroid and standard deviation) of dart throws.
They probably expect you to assume that the distribution or dart locations is uniform over a collection of equal-area triangles, with no darts falling outside. This is a highly unlikely situation.
In that case, 1/4 of 500 will land in the shaded areas. Take 1/4 of 500.
What percent of the circles are not white 2/5
To determine how many darts will land in the shaded area, we need to understand the proportion of the shaded triangles to the total number of triangles on the dart board.
We are given that the hexagon is divided into 24 triangles, with 6 of them shaded and 18 of them white.
To find the proportion of shaded triangles, we divide the number of shaded triangles (6) by the total number of triangles (24):
Proportion of shaded triangles = Number of shaded triangles / Total number of triangles
= 6 / 24
= 1 / 4
Therefore, the proportion of shaded triangles is 1/4.
To find how many darts will land in the shaded area, we multiply the total number of darts thrown by the proportion of shaded triangles:
Number of darts in shaded area = Total number of darts thrown * Proportion of shaded triangles
= 500 * (1/4)
= 125
Thus, 125 darts will land in the shaded area.