Q1 of 18 Page 70

In each picture below, the explanation of the green part is given. Calculate in each, the probability of a dot put without looking to be within the green part.

A square got by joining the midpoints of a bigger square.


The figure is given below:



Let side of bigger square be 2x


Then, AE = x


∴ Area of square = 4 × side


⇒ 4 × 2x


⇒ 8x


Area of Δ AHE


⇒


∴ The area of yellow region = 4(Area of Δ AHE)



= 2x2


Area of green region = Area of big square – Area of yellow region


⇒ 8x – 2x2


Probability of dot is putted in the green part






More from this chapter

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4

Number from 1 to 50 are written on slips of paper and put in a box. A slip is to be drawn from it; but before doing so, one must make a guess about the number: either prime number or a multiple of five. Which is the better guess? Why?

 5

A bag contains 3 red beads and 7 green beads. Another contains one red and one green more. The probability of getting a red from which bag is more?

 2

In each picture below, the explanation of the green part is given. Calculate in each, the probability of a dot put without looking to be within the green part.

A square with all vertices on a circle.


 3

In each picture below, the explanation of the green part is given. Calculate in each, the probability of a dot put without looking to be within the green part.

Circle exactly fitting inside a square.