Question

A number is chosen at random from the numbers $-3,-2,-1,0,1,2,3$. What will be the probability that the square of this number is less than or equal to $1$

• A. $\frac{1}{7}$
• B. $\frac{2}{7}$
• C. $\frac{3}{7}$
• D. $\frac{4}{7}$

Answer 1

Answer: (C)

$\frac{3}{7}$

Our Sample Set is $\{-3,-2,-1,0,1,2,3\}$

The squares of these numbers will be $\{9,4,1,0,1,4,9\}$ respectively.

So on choosing one number at random we may satisfy the requirement thrice, i.e. if the chosen numbers are, $-1.0,or1$

So, the probability $p\left(A\right)=\frac{(totalno.ofpossibleoutcomes)}{\left(samplespace\right)}=\frac{3}{7}$