Question

Help with this question, please?! I don't understand it!

Answer 1

Answer:

0.26

Step-by-step explanation:

Given :

To find the probability that a point on rectangle lies inside the hexagon

Solution :

Probability of an event = $\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ possible \ outcomes}$

⇒ $\frac{Area \ of \ Hexagon}{Area \ of \ Rectangle}$

⇒ $\frac{6 \times \ area \ of \ equilateral \ triangle \ of \ length \ 2cm}{Area \ of \ Rectangle}$

⇒ $\frac{6 \times \frac{\sqrt{3}}{4} \times (2)^2 }{5\times8}$

⇒ $\frac{6\sqrt{3}}{40}=\frac{3\sqrt{3}}{20}$ ≈ 0.26