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P-1 Probability — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Probability4 Marks
Question
A missing helicopter is reported to have crashed somewhere in the rectangular region as shown in figure. What is the probability that it crashed inside the lake shown in the figure?
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Answer

For rectangular region:
Length = 9 km, Breadth = 4.5 km
Area of rectangular region = Length × Breadth
= 9 × 4.5
= 40.5 sq. km
For rectangular Lake:
length = 9 – 6 = 3 km
breadth = 4.5 – 2 = 2.5 km
Area of rectangular lake = length × breadth
= 3 × 2.5
= 7.5 sq. km
Let A be the event that the helicopter crashed inside the lake.
$P ( A )=\frac{\text { Area of lack }}{\text { Area of rectangular region }}$
$=\frac{7.5}{40.5}$
$=\frac{70}{405}$
$P(A)=\frac{5}{27}$

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