10th Class Mathematics Probability Question Bank MCQs - Probability

If a number x is chosen at random from the numbers \[-\text{3},-\text{2},-\text{1},0,\text{1},\text{2},\text{3},\] then the probability of \[{{x}^{2}}<4\] is: (CBSE 2020)

A) \[\frac{3}{7}\]

B) \[\frac{2}{7}\]

C) \[\frac{1}{7}\]

D) None of these

Correct Answer: A

Solution :

[a] Given numbers are \[-3,-2,-1,0,1,2,4,3.\]

So. total possible outcomes = 7

Now. favourable outcomes \[({{x}^{2}}<4)=-1,0,1\]

So, total no. of favourable outcomes =3.

\[\therefore \]Probability \[({{x}^{2}}<4)=\frac{\text{TotaL not of fav}\text{.outcomes}}{\text{Total possible outcomes}}=\frac{3}{7}\]