a circular target of radius 11 cm consists of an inner circleof radius 5 cm and three concentric circles of radii 7cm, 9cm and 10 cm dividing the target into four regions. If a shot hit the target find the probability of hitting each region. If you shoot target 121 times, what is your expectation? How can you improve your performance?

Area of circle with r = 11 cm 227×(11)2 Area of region 1, 227(112-102) = 66 cm2Area of region 2, 227(102-92) = 227×19 cm2Area of region 3, 227(92-72) = 227×32 cm2Area of region 4, 227×72=154 cm2Probability of hitting region 1, 66×722×112=21121 Probability of hitting region 2, 227×19227×112= 19121 Probability of hitting region 3, 227×32227×112= 32121 Probability of hitting region 4, 154227×112= 49121

Expectation of hitting in the following regions:
Region 1: 21
Region 2:19
Region 3: 32
Region 4: 49

To improve his performance he needs to practice more.

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