Question

In two circles with the same centre,
the radius of the outer circle is twice
the radius of the inner circle. The
inner circle is shaded.If a dot is put in the figure by closing the eyes what is the probability that it is in the shaded portion​

Answer 1

Answer: 1/2

Step-by-step explanation:

let , shaded circle = x

And unshaded =2x (because the radius of unshaded circle is twice of radius of shaded circle)

Favourable outcome = x

Total outcome = 2x

Probability = favourable outcome / total outcome

P(e) = x/2x

P(e) = 1/2

Hope it helps you...

Answer 2

Answer:

area of a circle is πr²

let the radius of the smaller circle be r

∴ the area of the smaller circle is     = π × r²

                                                          = πr²

the radius of the larger circle is double the radius of the smaller circle

= π × 2r²

=4πr²

probability = favorable outcome ÷ total outcome

= πr²/ 4πr²

= 1/4

Step-by-step explanation:

not sure about the answer, hope its correct, if not please forgive.