Question

A dart is thrown randomly and it hits the dartboard. Probability that the dart lands closer to the center than to edge

Answer 1

Answer:

1/4

Step-by-step explanation:

Assuming, it is circular dartboard. area of dartboard will be Π.R²

Probability that the dart lands closer to the center than to edge will be proportional to area of dartboard. Area towards center will be less and towards extremes.

Consider raduis as R.

Area of whole circle = Area of R/2 circle(Closure to Dart) + Area of Farther to dart

Π.R² = Π.(R/2)²+ Area of Father to dart

Let R = 1

Area of Farther to dart = Π (3/4)

Area of closure to dart = Π (1/2)² = Π (1/4)

Total Area of dartboard = Π

Probability that the dart lands closer to the center than to edge = Area of closure to dart/ Total Area = Π (1/4) / Π = 1/4