A) \[\frac{55}{224}\]
B) \[\frac{11}{280}\]
C) \[\frac{363}{1120}\]
D) 1
Correct Answer: C
Solution :
| The probability that the ball dropped will fall either in the pond or the patio |
| \[=\frac{\text{Area pond}+\text{Area of patio}}{\text{Total area of garden}}\] |
| Area of pond \[=\frac{22}{7}{{m}^{2}}\]and area of patio \[=\frac{275}{28}{{m}^{2}}\] [Using parts [b] and (C)] |
| \[\therefore \] Required probability |
| \[=\frac{\frac{22}{7}+\frac{275}{28}}{40}=\frac{\frac{88+275}{28}}{40}=\frac{\frac{363}{28}}{40}=\frac{363}{1120}\] |
| So, Option [c] is correct. |
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