Question

If a number x is chosen at random from the numbers -2, -1, 0, 1, 2. What is the probability that $x^2<2$ ?

Answer 1

Total number of elementary events = 5

$x^2<2$ when $x=-1,0,1$

Therefore, favourable number of elementary events = 3

Hence, $P(x^2<2)=\frac{3}{5}$