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Mathematics

Grade9

Easy

Question

A dart is thrown and hits the target shown. If the dart is equally likely to hit any point on the target, what is the probability that it hits inside the inner square?

21%
32.5%
11.11%
10.5%

hint Hint:

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: 11.11%

In the question there is a picture of a target where dart has to be thrown.
Here, we have to find the probability that it hits inside the inner square.
The area of big square= 18 $cross times$ 18
The area of small square= $6 cross times 6$
Probability = $fraction numerator A r e a space o f space s m a l l space s q u a r e over denominator A r e a space o f space b i g space s q u a r e end fraction$
= $fraction numerator left parenthesis 6 cross times 6 right parenthesis over denominator 18 cross times 18 end fraction$
= 0.11
So, the probability that it hits inside the inner square is 11.11%.
Therefore, the correct option is c, i.e., 11.11%.

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