A) \[\frac{363}{1120}\]
B) \[\frac{723}{1120}\]
C) \[\frac{11}{280}\]
D) \[\frac{229}{240}\]
Correct Answer: B
Solution :
| The probability that the ball dropped will fall on the grass in the garden |
| \[=\frac{\text{Area of grass}}{\text{Total area of garden}}\] |
| Now, Area of grass = Area of garden - (Area of two flower beds + Area of pond + Area of patio). |
| \[=40-\left( \frac{11}{7}+\frac{22}{7}+\frac{275}{28} \right)=40-\left( \frac{44+88+275}{28} \right)\] \[=40-\frac{407}{28}=\frac{1120-407}{28}=\frac{723}{28}\] |
| \[\therefore \] Required probability \[=\frac{723/28}{28}=\frac{723}{1120}\] |
| So, Option [b] is correct |
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