Sarthaks APP
0 votes
in Mathematics by (8.0k points)

In the Fig. below, 13, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

1 Answer

0 votes
by (13.2k points)
selected by
Best answer

Let length of side of smaller square = a

Then length of side of bigger square = 1.5a

Area of smaller square = a2

Area of bigger square = (1.5)2a2 = 2.25a2.

Probability that dart will land in the interior of the smaller square = (Area of smaller square)/(Area of bigger square) = a2/2.25a2 = 1/2.25

∵ Geometrical probability,

P(E) = (measure of specified region part)/(measure of the whole region)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.