Mathematics
Grade9
Easy

Question

A dart is thrown and hits the square dartboard shown. The dart is equally likely to land at any point on the board. Find the probability that the dart lands in the white region outside the concentric circles.

  1. 32%    
  2. 36%    
  3. 32.5%    
  4. 21.5%    

hintHint:

Probability is the numerical description of the possibility of an event to occur. It helps in predicting how likely events can happen. The expressed value should be greater than 0 and less than 1. Here, we have to find the probability of the given event.

The correct answer is: 21.5%


    In the question there is a dart board as shown in the given figure.
    Here, we have to find the probability that the dart lands in white region.
    P(dart lands in white region)equals fraction numerator text Area of white region end text over denominator text Area of dart board end text end fraction equals fraction numerator 24 to the power of 2 end exponent minus pi open parentheses 12 to the power of 2 end exponent close parentheses over denominator 24 to the power of 2 end exponent end fraction almost equal to 0.215
    So, the probability that the dart lands in the white region is about 21.5%.
    Therefore, the correct option is d, i.e., 21.5%.

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