Question

A number x is chosen at random from from the number - 3, - 2 ,- 1, 0 1 ,2 ,3 what is the probability of that x square is less than 2

Answer 1

P( x square less the 2)= 3/7

Answer 2

Originally Answered: A number is chosen at random from the set {-3, -2, -1, 0, 1, 2, 3}. What will be the probability that the square of the chosen number is less then or equal to 1?

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, or 1.

So the probability will be number of (possible outcomes)/(sample space) = 3/7