a circular target of radius 11 cm consists of an inner circleof radius 5 cm and three concentric circles of - Maths - Probability

Question

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?

priyanka saggu · Accepted Answer

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