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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
(-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
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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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?
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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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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