Question

A number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then the probability that square of this number is less than or equal to 1 is

Answer 1

the probability will be 3/11

Explanation:

because there are three numbers whose can be less than or equal to 1

Answer 2

The probability of getting a number whose square is less than or equal to 1 is
`(3)/(11)`

SOLUTION:

Given, a number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5.

Then we have to find the probability that square of this number is less than or equal to 1 is.

We know that, probability of any event is number of favorable outcomes divided by total possible outcomes.

Now, let us see the favorable outcomes,

From the given set, there exists only three numbers whose square is less than or equal to 1, they are -1, 0, 1. Remaining all numbers have their squares greater than 1.

So, number of favorable outcomes = 3

And, Total number of possible outcomes = 11 [ since there are 11 numbers]

Now, probability =
`$\frac{\text { favorable outcomes }}{\text { possible outcomes }}$`

=
`(3)/(11)`

Hence, the probability of getting a number whose square is less than or equal to 1 is
`(3)/(11)`