Question

If a number x is chosen at random from the numbers –3, –2, –1, 0, 1, 2, 3, then find the probability of x² < 4.

Answer 1

x	–3	–2	–1	0	1	2	3
x2	9	4	1	0	1	4	9

Total possible outcomes = 7

Favourable outcomes = x² < 4 i.e., x = –1, 0, 1 = 3

P(x² < 4) = `3/7`