Question

A dart is thrown at a dart board whose dimensions are 5 m × 5 m. If the probability of missing the dart board 0.25, find the probability of hitting the board at a point that is at a maximum distance of 2 m from the centre of the board.

Answer 1

Step-by-step explanation:

In given radius of area C is 1,B is 2 and A is 3.

Then total area of circular region with radius 3 cm = π(3)2=9π

The area of circular region with radius 2 cm = π(2)2=4π

Then heating area of region A= 9π−4π=5π

Then  probability of a dart hitting board region A= total area of circular discarea of region A=9π5π=0.55

Then probability of a dart hitting board region A=55%.