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If a number x is chosen at random from the numbers -2,-1,0,1,2, what is the probability that x square is smaller than two?
Most Upvoted Answer
If a number x is chosen at random from the numbers -2,-1,0,1,2, what i...
(-2) ^2 = 4
(-1)^2 = 1
(0)^2 = 0
(1)^2 = 1
(2)^2 = 4


3/5
Community Answer
If a number x is chosen at random from the numbers -2,-1,0,1,2, what i...
Picking a number at random

To find the probability that the square of a randomly chosen number from the set {-2, -1, 0, 1, 2} is smaller than two, we need to consider the total possible outcomes and the favorable outcomes.

Total possible outcomes:
The set contains 5 numbers: -2, -1, 0, 1, and 2. Therefore, there are 5 total possible outcomes.

Favorable outcomes:
We need to find the numbers whose squares are smaller than two. Let's square each number:

(-2)^2 = 4
(-1)^2 = 1
0^2 = 0
1^2 = 1
2^2 = 4

From the above calculations, we can see that only the squares of -1, 0, and 1 are smaller than two. Therefore, there are 3 favorable outcomes.

Calculating the probability:
The probability of an event is calculated by dividing the number of favorable outcomes by the number of total possible outcomes.

Probability = (Number of Favorable Outcomes) / (Number of Total Possible Outcomes)

In this case, the probability is:

Probability = 3 / 5

Thus, the probability that the square of a randomly chosen number from the set {-2, -1, 0, 1, 2} is smaller than two is 3/5 or 0.6.

Summary:
- Total possible outcomes: 5
- Favorable outcomes: 3
- Probability: 3/5 or 0.6
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