One card is selected at random from 27 cards numbered form 1 to 27 . What is the probability that the number…

Total numbers $\mathrm{n}\left(\mathrm{S}\right)=27$

Even numbers possible to get $=\left\{2,4,6,8,10,12,14,16,18,20,22,24,26\right\}$

$\Rightarrow \mathrm{n}\left(\mathrm{E}\right)=13$

Number divisible by $5$ will be $=\left\{5,10,15,20,25\right\}$

$\Rightarrow \mathrm{n}\left(5\right)=5$

Total possibility of getting even number or divisible by $5=\mathrm{n}\left(\mathrm{E}\cap 5\right)=16$

therefore, Probability $=\frac{\mathrm{n}\left(\mathrm{E}\cap 5\right)}{\mathrm{n}\left(\mathrm{S}\right)}=\frac{16}{27}$