Question: "To find:The probability that the point is inside..."

aflacatn

Answered question

2021-08-13

To find:The probability that the point is inside the smaller circle

timbalemX

Skilled2021-08-14Added 108 answers

Solution to task

2021-12-24

Radius of circles,

$R_{s} = 3$

$R_{e} = 5$

Area $A_{s} = π r^{2}$

$A_{s} = π (3)^{2}$

$A_{s} = 9 π$

Similarly $A_{e} = π r^{2}$

$A_{e} = π (5)^{2}$

$A_{3} = 25 π$

Then

Probability that the point is inside the smaller circle

$P = \frac{A_{s}}{A_{e}} = \frac{9 π}{25 π} = \frac{9}{25}$

Hence, the probability is $\frac{9}{25}$

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