A) 0
B) 1
C) \[\frac{11}{224}\]
D) \[\frac{55}{224}\]
Correct Answer: D
Solution :
| Probability that the ball dropped will fall in the patio |
| \[=\frac{\text{Area of patio}}{\text{Total area of garden}}\] |
| Since area of the patio \[=\frac{1}{2}\times \pi {{r}^{2}}\] |
| \[=\frac{1}{2}\times \frac{22}{7}\times \frac{5}{2}\times \frac{5}{2}=\frac{275}{28}{{m}^{2}},\] as patio is shaped |
| like a semicircle of diameter 5 m. |
| \[\therefore \] Required probability |
| \[=\frac{275/28}{40}=\frac{275}{1120}=\frac{55}{224}\] |
| So, Option [d] is correct |
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