Question

a number is chosen at random from the numbers -3,-2,-1,0,1,2,3. What is the probability that Square of this number is less that 0 or equal to 1

Answer 1

The number choosen at random has to be equally alike .

Possible outcomes

The possible outcomes are all the favourable as well as the unfavourable outcomes that may arise out of the events taking place .

In the question the favourable outcomes are :

{ -3 , -2 , -1 , 0 , 1 , 2 , 3 }

There are hence 7 outcomes .

Favourable outcomes

There are only 2 favourable outcomes .

The square of - 1 is 1 .

The square of 1 is 1 .

Hence there are 2 outcomes that are favourable .

This means that we have 2 favourable outcomes and 7 possible outcomes .

Probability

$\mathtt{Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\:possible\:outcomes}}}$

$\mathtt{\implies Probability=\frac{2}{7}}$

ANSWER:

$\huge{\boxed{\boxed{\green{\frac{2}{7}}}}}$