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Maths-

General

Easy

Question

In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is

$\frac{1}{15}$
$\frac{1}{10}$
$\frac{1}{5}$
$\frac{1}{3}$

The correct answer is: $fraction numerator 1 over denominator 10 end fraction$

$A r e a space o f space r e c tan g l e space A B C D space equals l e n g t h cross times space b r e a d t h space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 15 cross times 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 60 I n space t r i a n g l e space A B E A E equals root index blank of B E squared minus B A squared end root A E equals square root of 5 squared minus 4 squared end root A E equals 3 A r e a space o f space t r i a n g l e space A B E space equals 1 half cross times b a s e cross times h e i g h t space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half cross times 4 cross times 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 6 P r o b a b i l i t y space o f space a space r a n d o m l y space c h o s e n space p o i n t space t o space f a l space i n s i d e space t h e space t r i a n g l e space i s space equals fraction numerator A r e a space o f space t r i a n g l e over denominator A r e a space o f space t h e space r e c tan g l e end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 6 over 60 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 10 space$

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