A helicopter crashed somewhere in the region given below. The probability that the helicopter crashed in the shaded region is

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0.57

0.47

0.35

0.50

answer is A.

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Detailed Solution

Given, a helicopter crashed somewhere in the region given below.
Probability is the part of math concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a proposition is valid.
The probability of an occasion is a number somewhere in the range of 0 and 1, where, generally speaking, 0 demonstrates inconceivability of the occasion and 1 shows certainty.
Question Image

Find the area of the semicircles.
Let us mark the four unshaded regions as

R 1, R 2, R 3

and

R 4

We have, area of

R 1 +

area of

R 2

= area of abcd - area of two semi-circles having centers at r and t

= 10 × 10 − 2 × 12 × 3.14 × 52 cm 2

= 21.5 cm 2

Find the area of the square: similarly, we have, area of

R 0 +

area of

R

= 21.5 cm 2

Hence, the area of the shaded region = area of square

ABCD −

area of

R 1 + R 2 + R 3 + R 4

= 100 − 2 × 21.5

= 57 cm 2

Hence, the required probability

= Areaofshadedregion Totalarea = 57100 = 0.57

A helicopter crashed somewhere in the region given below.
The probability that the helicopter crashed in the shaded region is 0.57.
Hence, the correct option is 1.

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