Question

Question 32(ii)
Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has a square number?

Answer 1

Total number of out comes with numbers 2 to 101, n(S) = 100
Let $E_2$ = Event of selecting a card which is a square number
= {4,9,16,25,36,49,64,81,100}.
$=\left\{\right(2{)}^2,(3{)}^2,(4{)}^2,(5{)}^2,(6{)}^2,(7{)}^2,(8{)}^2,(9{)}^2,(10{)}^2\}$
$\therefore n\left(E_2\right)=9$
Hence, required probability $=\frac{n\left(E_2\right)}{n\left(S\right)}=\frac{9}{100}$