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Using the figure of the bullseye above, what is the probability that a shooter will hit the bullseye two shots in a row? Express your answer as a percentage rounded to the nearest whole percent.

Using the figure of the bullseye above what is the probability that a shooter will hit the bullseye two shots in a row Express your answer as a percentage round class=

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akephd
The probability of hitting it once is the ratio of the bullseye area to the whole target.
So 144/484=.2975
For it to happen twice in a row, would be this squared which is .088=.09 or 9%

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Radius of area of bulls eye = 12 cm

So, Area of bulls eye would be

[tex]\pi r^2\\\\=\pi (12)^2\\\\=144\pi[/tex]

Similarly, radius of complete circle = 12+5+5=22 in.

So, Area of circle is given by

[tex]\pi r^2\\\\=\pi (22)^2\\\\=484\pi[/tex]

We need to find the probability that a shooter will hit the bulls eye two shots in a row is given by

[tex]\dfrac{144}{484}\times \dfrac{144}{484}\\\\=0.0885\\\\=8.85\%\\\\\approx 9\%[/tex]

Hence, third option is correct.

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