A) \[\frac{229}{240}\]
B) 0
C) \[\frac{11}{240}\]
D) \[\frac{11}{120}\]
Correct Answer: A
Solution :
| Probability that the ball dropped will fall in the pond. |
| \[=\frac{\text{Area of patio}}{\text{Total area of garden}}\] |
| Since, area of the pond \[=\pi {{r}^{2}}=\frac{22}{7}\times 1\times 1=\frac{22}{7}{{m}^{2}},\]as radius of the pond is 1 m, |
| \[\therefore \] Probability that the ball dropped will fall in the pond |
| \[=1-\frac{11}{240}=\frac{240-11}{240}=\frac{229}{240},\] |
| as \[P(E)+P(E0=1\] |
| So, option [a] is correct |
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